23751842400 has 1728 divisors, whose sum is σ = 110557923840. Its totient is φ = 4703846400.

The previous prime is 23751842393. The next prime is 23751842441. The reversal of 23751842400 is 424815732.

It is a happy number.

23751842400 is a `hidden beast` number, since 2 + 3 + 75 + 184 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 402573571 + ... + 402573629.

It is an arithmetic number, because the mean of its divisors is an integer number (63980280).

Almost surely, 2^23751842400 is an apocalyptic number.

23751842400 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 23751842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55278961920).

23751842400 is an abundant number, since it is smaller than the sum of its proper divisors (86806081440).

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

23751842400 is a wasteful number, since it uses less digits than its factorization.

23751842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 23751842400 in words is "twenty-three billion, seven hundred fifty-one million, eight hundred forty-two thousand, four hundred".