52145588874960 has 1120 divisors, whose sum is σ = 227059027863552. Its totient is φ = 10855962869760.

The previous prime is 52145588874833. The next prime is 52145588874971. The reversal of 52145588874960 is 6947888554125.

52145588874960 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 5 + 58 + 8 + 87 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 215021292 + ... + 215263668.

Almost surely, 2^{52145588874960} 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 52145588874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113529513931776).

52145588874960 is an abundant number, since it is smaller than the sum of its proper divisors (174913438988592).

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

52145588874960 is a wasteful number, since it uses less digits than its factorization.

52145588874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242463 (or 242442 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 52145588874960 in words is "fifty-two trillion, one hundred forty-five billion, five hundred eighty-eight million, eight hundred seventy-four thousand, nine hundred sixty".