52981585920 has 384 divisors, whose sum is σ = 191056320000. Its totient is φ = 13924270080.

The previous prime is 52981585903. The next prime is 52981585957. The reversal of 52981585920 is 2958518925.

52981585920 is a `hidden beast` number, since 52 + 9 + 8 + 1 + 585 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 19628731 + ... + 19631429.

It is an arithmetic number, because the mean of its divisors is an integer number (497542500).

Almost surely, 2^52981585920 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 52981585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160000).

52981585920 is an abundant number, since it is smaller than the sum of its proper divisors (138074734080).

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

52981585920 is a wasteful number, since it uses less digits than its factorization.

52981585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 52981585920 in words is "fifty-two billion, nine hundred eighty-one million, five hundred eighty-five thousand, nine hundred twenty".