5872725504000 has 2080 divisors, whose sum is σ = 23934141316800. Its totient is φ = 1426902220800.

The previous prime is 5872725503977. The next prime is 5872725504011. The reversal of 5872725504000 is 4055272785.

5872725504000 is a `hidden beast` number, since 5 + 8 + 72 + 72 + 5 + 504 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22851071872 + ... + 22851072128.

It is an arithmetic number, because the mean of its divisors is an integer number (11506798710).

Almost surely, 2^{5872725504000} is an apocalyptic number.

5872725504000 is a gapful number since it is divisible by the number (50) 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 5872725504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967070658400).

5872725504000 is an abundant number, since it is smaller than the sum of its proper divisors (18061415812800).

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

5872725504000 is a wasteful number, since it uses less digits than its factorization.

5872725504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 5872725504000 in words is "five trillion, eight hundred seventy-two billion, seven hundred twenty-five million, five hundred four thousand".