22895868856320 has 1152 divisors, whose sum is σ = 86505018163200. Its totient is φ = 5579410636800.

The previous prime is 22895868856261. The next prime is 22895868856337. The reversal of 22895868856320 is 2365886859822.

22895868856320 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 58 + 6 + 8 + 8 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25132676665 + ... + 25132677575.

It is an arithmetic number, because the mean of its divisors is an integer number (75091161600).

Almost surely, 2^{22895868856320} is an apocalyptic number.

22895868856320 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 22895868856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43252509081600).

22895868856320 is an abundant number, since it is smaller than the sum of its proper divisors (63609149306880).

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

22895868856320 is a wasteful number, since it uses less digits than its factorization.

22895868856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 22895868856320 in words is "twenty-two trillion, eight hundred ninety-five billion, eight hundred sixty-eight million, eight hundred fifty-six thousand, three hundred twenty".