22952496960 has 672 divisors, whose sum is σ = 88069887360. Its totient is φ = 5669388288.

The previous prime is 22952496929. The next prime is 22952496967. The reversal of 22952496960 is 6969425922.

It is a happy number.

22952496960 is a `hidden beast` number, since 2 + 2 + 95 + 2 + 496 + 9 + 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 = 22952496897 and 22952496906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22952496967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128226151 + ... + 128226329.

It is an arithmetic number, because the mean of its divisors is an integer number (131056380).

Almost surely, 2^22952496960 is an apocalyptic number.

22952496960 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 22952496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44034943680).

22952496960 is an abundant number, since it is smaller than the sum of its proper divisors (65117390400).

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

22952496960 is a wasteful number, since it uses less digits than its factorization.

22952496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 22952496960 in words is "twenty-two billion, nine hundred fifty-two million, four hundred ninety-six thousand, nine hundred sixty".