52959953700 has 432 divisors, whose sum is σ = 177944392080. Its totient is φ = 13148835840.

The previous prime is 52959953687. The next prime is 52959953707. The reversal of 52959953700 is 735995925.

52959953700 is a `hidden beast` number, since 52 + 9 + 59 + 9 + 537 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 23066926884 + 29893026816 = 151878^2 + 172896^2 .

It is a super-2 number, since 2×52959953700² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52959953707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167065942 + ... + 167066258.

It is an arithmetic number, because the mean of its divisors is an integer number (411908315).

Almost surely, 2^52959953700 is an apocalyptic number.

52959953700 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 52959953700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88972196040).

52959953700 is an abundant number, since it is smaller than the sum of its proper divisors (124984438380).

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

52959953700 is a wasteful number, since it uses less digits than its factorization.

52959953700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

The spelling of 52959953700 in words is "fifty-two billion, nine hundred fifty-nine million, nine hundred fifty-three thousand, seven hundred".