23875746120 has 192 divisors, whose sum is σ = 78198120000. Its totient is φ = 6317720064.

The previous prime is 23875746109. The next prime is 23875746131. The reversal of 23875746120 is 2164757832.

23875746120 is a `hidden beast` number, since 23 + 8 + 7 + 5 + 7 + 4 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23875746109) and next prime (23875746131).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38571171 + ... + 38571789.

It is an arithmetic number, because the mean of its divisors is an integer number (407281875).

Almost surely, 2^23875746120 is an apocalyptic number.

23875746120 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 23875746120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39099060000).

23875746120 is an abundant number, since it is smaller than the sum of its proper divisors (54322373880).

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

23875746120 is a wasteful number, since it uses less digits than its factorization.

23875746120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 23875746120 in words is "twenty-three billion, eight hundred seventy-five million, seven hundred forty-six thousand, one hundred twenty".