23791138560 has 864 divisors, whose sum is σ = 99995750400. Its totient is φ = 5413588992.

The previous prime is 23791138549. The next prime is 23791138561. The reversal of 23791138560 is 6583119732.

23791138560 is a `hidden beast` number, since 2 + 3 + 79 + 1 + 13 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×23791138560² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23791138561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106686609 + ... + 106686831.

Almost surely, 2^23791138560 is an apocalyptic number.

23791138560 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 23791138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49997875200).

23791138560 is an abundant number, since it is smaller than the sum of its proper divisors (76204611840).

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

23791138560 is an frugal number, since it uses more digits than its factorization.

23791138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 23791138560 in words is "twenty-three billion, seven hundred ninety-one million, one hundred thirty-eight thousand, five hundred sixty".