890265600000 has 1632 divisors, whose sum is σ = 3931878343680. Its totient is φ = 194641920000.

The previous prime is 890265599959. The next prime is 890265600011. The reversal of 890265600000 is 6562098.

890265600000 is a `hidden beast` number, since 8 + 90 + 2 + 6 + 560 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38707199989 + ... + 38707200011.

Almost surely, 2^890265600000 is an apocalyptic number.

890265600000 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 890265600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965939171840).

890265600000 is an abundant number, since it is smaller than the sum of its proper divisors (3041612743680).

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

890265600000 is an frugal number, since it uses more digits than its factorization.

890265600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 890265600000 in words is "eight hundred ninety billion, two hundred sixty-five million, six hundred thousand".