22750657544160 has 2688 divisors, whose sum is σ = 105569638917120. Its totient is φ = 4496748576768.

The previous prime is 22750657544107. The next prime is 22750657544207. The reversal of 22750657544160 is 6144575605722.

22750657544160 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 0 + 6 + 575 + 4 + 4 + 1 + 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 = 22750657544097 and 22750657544106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 19562043739 + ... + 19562044901.

It is an arithmetic number, because the mean of its divisors is an integer number (39274419240).

Almost surely, 2^{22750657544160} is an apocalyptic number.

22750657544160 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 22750657544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52784819458560).

22750657544160 is an abundant number, since it is smaller than the sum of its proper divisors (82818981372960).

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

22750657544160 is a wasteful number, since it uses less digits than its factorization.

22750657544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 22750657544160 in words is "twenty-two trillion, seven hundred fifty billion, six hundred fifty-seven million, five hundred forty-four thousand, one hundred sixty".