896627854080000 has 5760 divisors, whose sum is σ = 4014188510492160. Its totient is φ = 195641671680000.

The previous prime is 896627854079981. The next prime is 896627854080019. The reversal of 896627854080000 is 80458726698.

896627854080000 is a `hidden beast` number, since 8 + 9 + 6 + 6 + 2 + 7 + 8 + 540 + 80 + 0 + 0 + 0 = 666.

896627854080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (896627854079981) and next prime (896627854080019).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 896627854080000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5711005439922 + ... + 5711005440078.

It is an arithmetic number, because the mean of its divisors is an integer number (696907727516).

Almost surely, 2^{896627854080000} is an apocalyptic number.

896627854080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896627854080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007094255246080).

896627854080000 is an abundant number, since it is smaller than the sum of its proper divisors (3117560656412160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

896627854080000 is an equidigital number, since it uses as much as digits as its factorization.

896627854080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 896627854080000 in words is "eight hundred ninety-six trillion, six hundred twenty-seven billion, eight hundred fifty-four million, eighty thousand".