23487725260800 has 936 divisors, whose sum is σ = 90061106553600. Its totient is φ = 6061149388800.

The previous prime is 23487725260777. The next prime is 23487725260817. The reversal of 23487725260800 is 806252778432.

23487725260800 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 7 + 7 + 25 + 2 + 608 + 0 + 0 = 666.

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

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, 771363976 + ... + 771394424.

Almost surely, 2^{23487725260800} is an apocalyptic number.

23487725260800 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 23487725260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45030553276800).

23487725260800 is an abundant number, since it is smaller than the sum of its proper divisors (66573381292800).

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

23487725260800 is an equidigital number, since it uses as much as digits as its factorization.

23487725260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30529 (or 30490 counting only the distinct ones).

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

The spelling of 23487725260800 in words is "twenty-three trillion, four hundred eighty-seven billion, seven hundred twenty-five million, two hundred sixty thousand, eight hundred".