22835800920960 has 1280 divisors, whose sum is σ = 84384765843840. Its totient is φ = 5882430947328.

The previous prime is 22835800920937. The next prime is 22835800921039. The reversal of 22835800920960 is 6902900853822.

22835800920960 is a `hidden beast` number, since 2 + 28 + 358 + 0 + 0 + 9 + 209 + 60 = 666.

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 = 22835800920897 and 22835800920906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72037226722 + ... + 72037227038.

Almost surely, 2^{22835800920960} is an apocalyptic number.

22835800920960 is a gapful number since it is divisible by the number (20) 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 22835800920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42192382921920).

22835800920960 is an abundant number, since it is smaller than the sum of its proper divisors (61548964922880).

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

22835800920960 is a wasteful number, since it uses less digits than its factorization.

22835800920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 22835800920960 in words is "twenty-two trillion, eight hundred thirty-five billion, eight hundred million, nine hundred twenty thousand, nine hundred sixty".