52580404800 has 1260 divisors, whose sum is σ = 243295261440. Its totient is φ = 10902988800.

The previous prime is 52580404739. The next prime is 52580404819. The reversal of 52580404800 is 840408525.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 109770961 + ... + 109771439.

Almost surely, 2^52580404800 is an apocalyptic number.

52580404800 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 52580404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121647630720).

52580404800 is an abundant number, since it is smaller than the sum of its proper divisors (190714856640).

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

52580404800 is a wasteful number, since it uses less digits than its factorization.

52580404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 52580404800 in words is "fifty-two billion, five hundred eighty million, four hundred four thousand, eight hundred".