52984199520 has 960 divisors, whose sum is σ = 229202265600. Its totient is φ = 11257159680.

The previous prime is 52984199519. The next prime is 52984199533. The reversal of 52984199520 is 2599148925.

52984199520 is a `hidden beast` number, since 5 + 29 + 8 + 4 + 1 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101696860 + ... + 101697380.

It is an arithmetic number, because the mean of its divisors is an integer number (238752360).

Almost surely, 2^52984199520 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 52984199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114601132800).

52984199520 is an abundant number, since it is smaller than the sum of its proper divisors (176218066080).

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

52984199520 is a wasteful number, since it uses less digits than its factorization.

52984199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 52984199520 in words is "fifty-two billion, nine hundred eighty-four million, one hundred ninety-nine thousand, five hundred twenty".