23538623496960 has 864 divisors, whose sum is σ = 88903626029568. Its totient is φ = 5261507297280.

The previous prime is 23538623496943. The next prime is 23538623497027. The reversal of 23538623496960 is 6969432683532.

It is a super-2 number, since 2×23538623496960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 23538623496891 and 23538623496900.

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, 11014797012 + ... + 11014799148.

It is an arithmetic number, because the mean of its divisors is an integer number (102897715312).

Almost surely, 2^{23538623496960} is an apocalyptic number.

23538623496960 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 23538623496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44451813014784).

23538623496960 is an abundant number, since it is smaller than the sum of its proper divisors (65365002532608).

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

23538623496960 is a wasteful number, since it uses less digits than its factorization.

23538623496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 66.

The spelling of 23538623496960 in words is "twenty-three trillion, five hundred thirty-eight billion, six hundred twenty-three million, four hundred ninety-six thousand, nine hundred sixty".