52421765760 has 2048 divisors, whose sum is σ = 253174118400. Its totient is φ = 9937354752.

The previous prime is 52421765701. The next prime is 52421765801. The reversal of 52421765760 is 6756712425.

52421765760 is a `hidden beast` number, since 5 + 2 + 4 + 2 + 1 + 76 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 989089894 + ... + 989089946.

It is an arithmetic number, because the mean of its divisors is an integer number (123620175).

Almost surely, 2^52421765760 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 52421765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126587059200).

52421765760 is an abundant number, since it is smaller than the sum of its proper divisors (200752352640).

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

52421765760 is a wasteful number, since it uses less digits than its factorization.

52421765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 52421765760 in words is "fifty-two billion, four hundred twenty-one million, seven hundred sixty-five thousand, seven hundred sixty".