52578979200 has 768 divisors, whose sum is σ = 212820307200. Its totient is φ = 12727756800.

The previous prime is 52578979169. The next prime is 52578979259. The reversal of 52578979200 is 297987525.

52578979200 is a `hidden beast` number, since 525 + 7 + 8 + 97 + 9 + 20 + 0 = 666.

52578979200 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76982059 + ... + 76982741.

It is an arithmetic number, because the mean of its divisors is an integer number (277109775).

Almost surely, 2^52578979200 is an apocalyptic number.

52578979200 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 52578979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106410153600).

52578979200 is an abundant number, since it is smaller than the sum of its proper divisors (160241328000).

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

52578979200 is an equidigital number, since it uses as much as digits as its factorization.

52578979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 52578979200 in words is "fifty-two billion, five hundred seventy-eight million, nine hundred seventy-nine thousand, two hundred".