22835796721920 has 2880 divisors, whose sum is σ = 107220058767360. Its totient is φ = 4508549185536.

The previous prime is 22835796721901. The next prime is 22835796721951. The reversal of 22835796721920 is 2912769753822.

22835796721920 is a `hidden beast` number, since 2 + 2 + 8 + 357 + 9 + 67 + 219 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×22835796721920² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10199104161 + ... + 10199106399.

It is an arithmetic number, because the mean of its divisors is an integer number (37229187072).

Almost surely, 2^{22835796721920} is an apocalyptic number.

22835796721920 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 22835796721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53610029383680).

22835796721920 is an abundant number, since it is smaller than the sum of its proper divisors (84384262045440).

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

22835796721920 is a wasteful number, since it uses less digits than its factorization.

22835796721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 22835796721920 in words is "twenty-two trillion, eight hundred thirty-five billion, seven hundred ninety-six million, seven hundred twenty-one thousand, nine hundred twenty".