23515385978880 has 896 divisors, whose sum is σ = 85043466224640. Its totient is φ = 6163707985920.

The previous prime is 23515385978873. The next prime is 23515385978921. The reversal of 23515385978880 is 8887958351532.

23515385978880 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 5 + 385 + 97 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23515385978799 and 23515385978808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22121717229 + ... + 22121718291.

It is an arithmetic number, because the mean of its divisors is an integer number (94914582840).

Almost surely, 2^{23515385978880} is an apocalyptic number.

23515385978880 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 23515385978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42521733112320).

23515385978880 is an abundant number, since it is smaller than the sum of its proper divisors (61528080245760).

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

23515385978880 is a wasteful number, since it uses less digits than its factorization.

23515385978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 23515385978880 in words is "twenty-three trillion, five hundred fifteen billion, three hundred eighty-five million, nine hundred seventy-eight thousand, eight hundred eighty".