23980950322560 has 3072 divisors, whose sum is σ = 110946524774400. Its totient is φ = 4839065763840.

The previous prime is 23980950322499. The next prime is 23980950322579. The reversal of 23980950322560 is 6522305908932.

23980950322560 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 0 + 9 + 50 + 3 + 22 + 560 = 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 = 23980950322497 and 23980950322506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51794708889 + ... + 51794709351.

It is an arithmetic number, because the mean of its divisors is an integer number (36115405200).

Almost surely, 2^{23980950322560} is an apocalyptic number.

23980950322560 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 23980950322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473262387200).

23980950322560 is an abundant number, since it is smaller than the sum of its proper divisors (86965574451840).

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

23980950322560 is a wasteful number, since it uses less digits than its factorization.

23980950322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 23980950322560 in words is "twenty-three trillion, nine hundred eighty billion, nine hundred fifty million, three hundred twenty-two thousand, five hundred sixty".