23738265600 has 936 divisors, whose sum is σ = 97261899840. Its totient is φ = 5078384640.

The previous prime is 23738265533. The next prime is 23738265637. The reversal of 23738265600 is 656283732.

It is a happy number.

It is a super-2 number, since 2×23738265600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286003159 + ... + 286003241.

Almost surely, 2^23738265600 is an apocalyptic number.

23738265600 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 23738265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48630949920).

23738265600 is an abundant number, since it is smaller than the sum of its proper divisors (73523634240).

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

23738265600 is a wasteful number, since it uses less digits than its factorization.

23738265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 23738265600 in words is "twenty-three billion, seven hundred thirty-eight million, two hundred sixty-five thousand, six hundred".