52913185600 has 336 divisors, whose sum is σ = 146675612160. Its totient is φ = 18621388800.

The previous prime is 52913185529. The next prime is 52913185609. The reversal of 52913185600 is 658131925.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52913185609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105194949 + ... + 105195451.

It is an arithmetic number, because the mean of its divisors is an integer number (436534560).

Almost surely, 2^52913185600 is an apocalyptic number.

52913185600 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 52913185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73337806080).

52913185600 is an abundant number, since it is smaller than the sum of its proper divisors (93762426560).

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

52913185600 is a wasteful number, since it uses less digits than its factorization.

52913185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 52913185600 in words is "fifty-two billion, nine hundred thirteen million, one hundred eighty-five thousand, six hundred".