23745795840000 has 1920 divisors, whose sum is σ = 100259575416000. Its totient is φ = 5499518976000.

The previous prime is 23745795839963. The next prime is 23745795840007. The reversal of 23745795840000 is 4859754732.

It is a happy number.

23745795840000 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 57 + 9 + 584 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×23745795840000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23745795840007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7637758446 + ... + 7637761554.

Almost surely, 2^{23745795840000} is an apocalyptic number.

23745795840000 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 23745795840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50129787708000).

23745795840000 is an abundant number, since it is smaller than the sum of its proper divisors (76513779576000).

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

23745795840000 is a wasteful number, since it uses less digits than its factorization.

23745795840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 23745795840000 in words is "twenty-three trillion, seven hundred forty-five billion, seven hundred ninety-five million, eight hundred forty thousand".