23755979520 has 1728 divisors, whose sum is σ = 113138049024. Its totient is φ = 4459069440.

The previous prime is 23755979483. The next prime is 23755979557. The reversal of 23755979520 is 2597955732.

23755979520 is a `hidden beast` number, since 2 + 37 + 559 + 7 + 9 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23755979483) and next prime (23755979557).

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 191 ways as a sum of consecutive naturals, for example, 552464619 + ... + 552464661.

It is an arithmetic number, because the mean of its divisors is an integer number (65473408).

Almost surely, 2^23755979520 is an apocalyptic number.

23755979520 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 23755979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56569024512).

23755979520 is an abundant number, since it is smaller than the sum of its proper divisors (89382069504).

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

23755979520 is a wasteful number, since it uses less digits than its factorization.

23755979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

It can be divided in two parts, 2375 and 5979520, that added together give a palindrome (5981895).

The spelling of 23755979520 in words is "twenty-three billion, seven hundred fifty-five million, nine hundred seventy-nine thousand, five hundred twenty".