23313907768320 has 4224 divisors, whose sum is σ = 102746220595200. Its totient is φ = 4826496761856.

The previous prime is 23313907768271. The next prime is 23313907768351. The reversal of 23313907768320 is 2386770931332.

23313907768320 is a `hidden beast` number, since 233 + 13 + 9 + 0 + 7 + 76 + 8 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 280890454999 + ... + 280890455081.

Almost surely, 2^{23313907768320} is an apocalyptic number.

23313907768320 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 23313907768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51373110297600).

23313907768320 is an abundant number, since it is smaller than the sum of its proper divisors (79432312826880).

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

23313907768320 is a wasteful number, since it uses less digits than its factorization.

23313907768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 23313907768320 in words is "twenty-three trillion, three hundred thirteen billion, nine hundred seven million, seven hundred sixty-eight thousand, three hundred twenty".