23765145600 has 864 divisors, whose sum is σ = 96811303680. Its totient is φ = 5028249600.

The previous prime is 23765145559. The next prime is 23765145601. The reversal of 23765145600 is 654156732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23765145601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 766617585 + ... + 766617615.

It is an arithmetic number, because the mean of its divisors is an integer number (112050120).

Almost surely, 2^23765145600 is an apocalyptic number.

23765145600 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 23765145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48405651840).

23765145600 is an abundant number, since it is smaller than the sum of its proper divisors (73046158080).

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

23765145600 is a wasteful number, since it uses less digits than its factorization.

23765145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 23765145600 in words is "twenty-three billion, seven hundred sixty-five million, one hundred forty-five thousand, six hundred".