52078524825600 has 3264 divisors, whose sum is σ = 249674274823680. Its totient is φ = 10328054169600.

The previous prime is 52078524825589. The next prime is 52078524825619. The reversal of 52078524825600 is 652842587025.

52078524825600 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 8 + 5 + 2 + 4 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

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 191 ways as a sum of consecutive naturals, for example, 68434329220 + ... + 68434329980.

Almost surely, 2^{52078524825600} is an apocalyptic number.

52078524825600 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 52078524825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124837137411840).

52078524825600 is an abundant number, since it is smaller than the sum of its proper divisors (197595749998080).

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

52078524825600 is a wasteful number, since it uses less digits than its factorization.

52078524825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 52078524825600 in words is "fifty-two trillion, seventy-eight billion, five hundred twenty-four million, eight hundred twenty-five thousand, six hundred".