52046176648320 has 640 divisors, whose sum is σ = 186434559273600. Its totient is φ = 13836631818240.

The previous prime is 52046176648307. The next prime is 52046176648337. The reversal of 52046176648320 is 2384667164025.

52046176648320 is a `hidden beast` number, since 5 + 20 + 4 + 61 + 7 + 66 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39399073260 + ... + 39399074580.

It is an arithmetic number, because the mean of its divisors is an integer number (291303998865).

Almost surely, 2^{52046176648320} 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 52046176648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93217279636800).

52046176648320 is an abundant number, since it is smaller than the sum of its proper divisors (134388382625280).

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

52046176648320 is a wasteful number, since it uses less digits than its factorization.

52046176648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 52046176648320 in words is "fifty-two trillion, forty-six billion, one hundred seventy-six million, six hundred forty-eight thousand, three hundred twenty".