52079051698432 has 288 divisors, whose sum is σ = 120450315976704. Its totient is φ = 22241995776000.

The previous prime is 52079051698337. The next prime is 52079051698433. The reversal of 52079051698432 is 23489615097025.

It is not an unprimeable number, because it can be changed into a prime (52079051698433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830747793 + ... + 830810479.

It is an arithmetic number, because the mean of its divisors is an integer number (418230263808).

It is a 1-persistent number, because it is pandigital, but 2⋅52079051698432 = 104158103396864 is not.

Almost surely, 2^{52079051698432} 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 52079051698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60225157988352).

52079051698432 is an abundant number, since it is smaller than the sum of its proper divisors (68371264278272).

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

52079051698432 is a wasteful number, since it uses less digits than its factorization.

52079051698432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62965 (or 62951 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 52079051698432 in words is "fifty-two trillion, seventy-nine billion, fifty-one million, six hundred ninety-eight thousand, four hundred thirty-two".