22982950755072 has 1728 divisors, whose sum is σ = 88096154065920. Its totient is φ = 5843238912000.

The previous prime is 22982950755067. The next prime is 22982950755101. The reversal of 22982950755072 is 27055705928922.

22982950755072 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 2 + 9 + 5 + 0 + 7 + 550 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×22982950755072² (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 191 ways as a sum of consecutive naturals, for example, 38757083608 + ... + 38757084200.

It is an arithmetic number, because the mean of its divisors is an integer number (50981570640).

Almost surely, 2^{22982950755072} is an apocalyptic number.

22982950755072 is a gapful number since it is divisible by the number (22) 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 22982950755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44048077032960).

22982950755072 is an abundant number, since it is smaller than the sum of its proper divisors (65113203310848).

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

22982950755072 is a wasteful number, since it uses less digits than its factorization.

22982950755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 22982950755072 in words is "twenty-two trillion, nine hundred eighty-two billion, nine hundred fifty million, seven hundred fifty-five thousand, seventy-two".