52624122771200 has 216 divisors, whose sum is σ = 139336693880832. Its totient is φ = 19607188930560.

The previous prime is 52624122771179. The next prime is 52624122771247. The reversal of 52624122771200 is 217722142625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8060417 + ... + 13046783.

Almost surely, 2^{52624122771200} is an apocalyptic number.

52624122771200 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 52624122771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69668346940416).

52624122771200 is an abundant number, since it is smaller than the sum of its proper divisors (86712571109632).

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

52624122771200 is a wasteful number, since it uses less digits than its factorization.

52624122771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986507 (or 4986488 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 52624122771200 in words is "fifty-two trillion, six hundred twenty-four billion, one hundred twenty-two million, seven hundred seventy-one thousand, two hundred".