52420199569920 has 960 divisors, whose sum is σ = 230429896899840. Its totient is φ = 11060068810752.

The previous prime is 52420199569861. The next prime is 52420199569937. The reversal of 52420199569920 is 2996599102425.

52420199569920 is a `hidden beast` number, since 5 + 2 + 42 + 0 + 1 + 9 + 9 + 569 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 81448422 + ... + 82089498.

It is an arithmetic number, because the mean of its divisors is an integer number (240031142604).

Almost surely, 2^{52420199569920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52420199569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214948449920).

52420199569920 is an abundant number, since it is smaller than the sum of its proper divisors (178009697329920).

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

52420199569920 is a wasteful number, since it uses less digits than its factorization.

52420199569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641142 (or 641107 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 52420199569920 in words is "fifty-two trillion, four hundred twenty billion, one hundred ninety-nine million, five hundred sixty-nine thousand, nine hundred twenty".