23874487560 has 1120 divisors, whose sum is σ = 105805198080. Its totient is φ = 4800902400.

The previous prime is 23874487543. The next prime is 23874487561. The reversal of 23874487560 is 6578447832.

23874487560 is a `hidden beast` number, since 2 + 3 + 8 + 74 + 4 + 8 + 7 + 560 = 666.

It is a super-3 number, since 3×23874487560³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23874487497 and 23874487506.

It is not an unprimeable number, because it can be changed into a prime (23874487561) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 770144745 + ... + 770144775.

Almost surely, 2^23874487560 is an apocalyptic number.

23874487560 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 23874487560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52902599040).

23874487560 is an abundant number, since it is smaller than the sum of its proper divisors (81930710520).

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

23874487560 is an equidigital number, since it uses as much as digits as its factorization.

23874487560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 23874487560 in words is "twenty-three billion, eight hundred seventy-four million, four hundred eighty-seven thousand, five hundred sixty".