52646412800 has 120 divisors (see below), whose sum is σ = 130564704336. Its totient is φ = 21037731840.

The previous prime is 52646412799. The next prime is 52646412857. The reversal of 52646412800 is 821464625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23896499 + ... + 23898701.

Almost surely, 2^52646412800 is an apocalyptic number.

52646412800 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 52646412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65282352168).

52646412800 is an abundant number, since it is smaller than the sum of its proper divisors (77918291536).

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

52646412800 is a wasteful number, since it uses less digits than its factorization.

52646412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 52646412800 in words is "fifty-two billion, six hundred forty-six million, four hundred twelve thousand, eight hundred".