52515106902720 has 4480 divisors, whose sum is σ = 253985382604800. Its totient is φ = 10013198745600.

The previous prime is 52515106902623. The next prime is 52515106902751. The reversal of 52515106902720 is 2720960151525.

52515106902720 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 510 + 6 + 90 + 27 + 20 = 666.

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

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 639 ways as a sum of consecutive naturals, for example, 377806524411 + ... + 377806524549.

It is an arithmetic number, because the mean of its divisors is an integer number (56693165760).

Almost surely, 2^{52515106902720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52515106902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126992691302400).

52515106902720 is an abundant number, since it is smaller than the sum of its proper divisors (201470275702080).

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

52515106902720 is a wasteful number, since it uses less digits than its factorization.

52515106902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 52515106902720 in words is "fifty-two trillion, five hundred fifteen billion, one hundred six million, nine hundred two thousand, seven hundred twenty".