52646630400 has 1848 divisors, whose sum is σ = 248580867584. Its totient is φ = 10749542400.

The previous prime is 52646630389. The next prime is 52646630423. The reversal of 52646630400 is 403664625.

52646630400 is a `hidden beast` number, since 5 + 2 + 646 + 6 + 3 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1698278385 + ... + 1698278415.

Almost surely, 2^52646630400 is an apocalyptic number.

52646630400 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 52646630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124290433792).

52646630400 is an abundant number, since it is smaller than the sum of its proper divisors (195934237184).

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

52646630400 is a wasteful number, since it uses less digits than its factorization.

52646630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 52646630400 in words is "fifty-two billion, six hundred forty-six million, six hundred thirty thousand, four hundred".