52978536800 has 144 divisors (see below), whose sum is σ = 147977528832. Its totient is φ = 18143500800.

The previous prime is 52978536799. The next prime is 52978536803. The reversal of 52978536800 is 863587925.

It is a super-2 number, since 2×52978536800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52978536803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5432729 + ... + 5442471.

It is an arithmetic number, because the mean of its divisors is an integer number (1027621728).

Almost surely, 2^52978536800 is an apocalyptic number.

52978536800 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 52978536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73988764416).

52978536800 is an abundant number, since it is smaller than the sum of its proper divisors (94998992032).

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

52978536800 is a wasteful number, since it uses less digits than its factorization.

52978536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 52978536800 in words is "fifty-two billion, nine hundred seventy-eight million, five hundred thirty-six thousand, eight hundred".