52879434300 has 864 divisors, whose sum is σ = 217840057344. Its totient is φ = 10409472000.

The previous prime is 52879434239. The next prime is 52879434317. The reversal of 52879434300 is 343497825.

52879434300 is a `hidden beast` number, since 52 + 87 + 94 + 3 + 430 + 0 = 666.

52879434300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105127849 + ... + 105128351.

It is an arithmetic number, because the mean of its divisors is an integer number (252129696).

Almost surely, 2^52879434300 is an apocalyptic number.

52879434300 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 52879434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108920028672).

52879434300 is an abundant number, since it is smaller than the sum of its proper divisors (164960623044).

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

52879434300 is a wasteful number, since it uses less digits than its factorization.

52879434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 52879434300 in words is "fifty-two billion, eight hundred seventy-nine million, four hundred thirty-four thousand, three hundred".