52118861491200 has 528 divisors, whose sum is σ = 196912452153600. Its totient is φ = 11909919866880.

The previous prime is 52118861491189. The next prime is 52118861491219. The reversal of 52118861491200 is 219416881125.

52118861491200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52118861491200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741212894 + ... + 2741231906.

Almost surely, 2^{52118861491200} is an apocalyptic number.

52118861491200 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 52118861491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98456226076800).

52118861491200 is an abundant number, since it is smaller than the sum of its proper divisors (144793590662400).

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

52118861491200 is a wasteful number, since it uses less digits than its factorization.

52118861491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 24129 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 52118861491200 in words is "fifty-two trillion, one hundred eighteen billion, eight hundred sixty-one million, four hundred ninety-one thousand, two hundred".