52501889664 has 768 divisors, whose sum is σ = 189992217600. Its totient is φ = 14213283840.

The previous prime is 52501889653. The next prime is 52501889731. The reversal of 52501889664 is 46698810525.

52501889664 is a `hidden beast` number, since 52 + 501 + 8 + 89 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52501889664.

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, 383225404 + ... + 383225540.

It is an arithmetic number, because the mean of its divisors is an integer number (247385700).

Almost surely, 2^52501889664 is an apocalyptic number.

52501889664 is a gapful number since it is divisible by the number (54) 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 52501889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94996108800).

52501889664 is an abundant number, since it is smaller than the sum of its proper divisors (137490327936).

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

52501889664 is a wasteful number, since it uses less digits than its factorization.

52501889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 52501889664 in words is "fifty-two billion, five hundred one million, eight hundred eighty-nine thousand, six hundred sixty-four".