89568007476480 has 864 divisors, whose sum is σ = 348145204592640. Its totient is φ = 22047341322240.

The previous prime is 89568007476379. The next prime is 89568007476481. The reversal of 89568007476480 is 8467470086598.

89568007476480 is a `hidden beast` number, since 8 + 9 + 5 + 6 + 8 + 0 + 0 + 74 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89568007476399 and 89568007476408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89568007476481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683289345 + ... + 683420415.

Almost surely, 2^{89568007476480} is an apocalyptic number.

89568007476480 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 89568007476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174072602296320).

89568007476480 is an abundant number, since it is smaller than the sum of its proper divisors (258577197116160).

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

89568007476480 is an equidigital number, since it uses as much as digits as its factorization.

89568007476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131146 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 89568007476480 in words is "eighty-nine trillion, five hundred sixty-eight billion, seven million, four hundred seventy-six thousand, four hundred eighty".