52750815138000 has 1280 divisors, whose sum is σ = 225984073236480. Its totient is φ = 11508355584000.

The previous prime is 52750815137887. The next prime is 52750815138059. The reversal of 52750815138000 is 83151805725.

52750815138000 is a `hidden beast` number, since 5 + 2 + 7 + 50 + 8 + 1 + 513 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 855383167 + ... + 855444833.

It is an arithmetic number, because the mean of its divisors is an integer number (176550057216).

Almost surely, 2^{52750815138000} is an apocalyptic number.

52750815138000 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 52750815138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112992036618240).

52750815138000 is an abundant number, since it is smaller than the sum of its proper divisors (173233258098480).

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

52750815138000 is a wasteful number, since it uses less digits than its factorization.

52750815138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61810 (or 61788 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 52750815138000 in words is "fifty-two trillion, seven hundred fifty billion, eight hundred fifteen million, one hundred thirty-eight thousand".