22715088080256 has 1280 divisors, whose sum is σ = 81220589049600. Its totient is φ = 6210587934720.

The previous prime is 22715088080219. The next prime is 22715088080303. The reversal of 22715088080256 is 65208088051722.

22715088080256 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 508 + 8 + 0 + 80 + 2 + 56 = 666.

It is a super-2 number, since 2×22715088080256² (a number of 28 digits) contains 22 as substring.

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

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, 36696426315 + ... + 36696426933.

It is an arithmetic number, because the mean of its divisors is an integer number (63453585195).

Almost surely, 2^{22715088080256} is an apocalyptic number.

22715088080256 is a gapful number since it is divisible by the number (26) 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 22715088080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40610294524800).

22715088080256 is an abundant number, since it is smaller than the sum of its proper divisors (58505500969344).

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

22715088080256 is a wasteful number, since it uses less digits than its factorization.

22715088080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 22715088080256 in words is "twenty-two trillion, seven hundred fifteen billion, eighty-eight million, eighty thousand, two hundred fifty-six".