52978360115200 has 504 divisors, whose sum is σ = 145574226110808. Its totient is φ = 19105791344640.

The previous prime is 52978360115147. The next prime is 52978360115221. The reversal of 52978360115200 is 251106387925.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1488263802 + ... + 1488299398.

Almost surely, 2^{52978360115200} is an apocalyptic number.

52978360115200 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 52978360115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72787113055404).

52978360115200 is an abundant number, since it is smaller than the sum of its proper divisors (92595865995608).

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

52978360115200 is a wasteful number, since it uses less digits than its factorization.

52978360115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35702 (or 35660 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 52978360115200 in words is "fifty-two trillion, nine hundred seventy-eight billion, three hundred sixty million, one hundred fifteen thousand, two hundred".