52920884408800 has 144 divisors (see below), whose sum is σ = 131248680296832. Its totient is φ = 20832161011200.

The previous prime is 52920884408797. The next prime is 52920884408809. The reversal of 52920884408800 is 880448802925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52920884408809) 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, 54782779 + ... + 55740421.

It is an arithmetic number, because the mean of its divisors is an integer number (911449168728).

Almost surely, 2^{52920884408800} is an apocalyptic number.

52920884408800 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 52920884408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65624340148416).

52920884408800 is an abundant number, since it is smaller than the sum of its proper divisors (78327795888032).

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

52920884408800 is a wasteful number, since it uses less digits than its factorization.

52920884408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958761 (or 958748 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 58.

The spelling of 52920884408800 in words is "fifty-two trillion, nine hundred twenty billion, eight hundred eighty-four million, four hundred eight thousand, eight hundred".