890947200960 has 560 divisors, whose sum is σ = 3446439948864. Its totient is φ = 217562775552.

The previous prime is 890947200953. The next prime is 890947200971. The reversal of 890947200960 is 69002749098.

890947200960 is a `hidden beast` number, since 89 + 0 + 9 + 472 + 0 + 0 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 890947200897 and 890947200906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16276357 + ... + 16331003.

Almost surely, 2^890947200960 is an apocalyptic number.

890947200960 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 890947200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723219974432).

890947200960 is an abundant number, since it is smaller than the sum of its proper divisors (2555492747904).

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

890947200960 is a wasteful number, since it uses less digits than its factorization.

890947200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54730 (or 54711 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 890947200960 in words is "eight hundred ninety billion, nine hundred forty-seven million, two hundred thousand, nine hundred sixty".