52038258624 has 448 divisors, whose sum is σ = 176032972800. Its totient is φ = 14927846400.

The previous prime is 52038258611. The next prime is 52038258817. The reversal of 52038258624 is 42685283025.

52038258624 is a `hidden beast` number, since 520 + 3 + 8 + 25 + 86 + 24 = 666.

52038258624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52038258624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27693717 + ... + 27695595.

Almost surely, 2^52038258624 is an apocalyptic number.

52038258624 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 52038258624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016486400).

52038258624 is an abundant number, since it is smaller than the sum of its proper divisors (123994714176).

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

52038258624 is a wasteful number, since it uses less digits than its factorization.

52038258624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 52038258624 in words is "fifty-two billion, thirty-eight million, two hundred fifty-eight thousand, six hundred twenty-four".