38053832520 has 512 divisors, whose sum is σ = 133005058560. Its totient is φ = 8626176000.

The previous prime is 38053832513. The next prime is 38053832527. The reversal of 38053832520 is 2523835083.

38053832520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38053832513) and next prime (38053832527).

It is not an unprimeable number, because it can be changed into a prime (38053832527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157899600 + ... + 157899840.

It is an arithmetic number, because the mean of its divisors is an integer number (259775505).

Almost surely, 2^38053832520 is an apocalyptic number.

38053832520 is a gapful number since it is divisible by the number (30) 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 38053832520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66502529280).

38053832520 is an abundant number, since it is smaller than the sum of its proper divisors (94951226040).

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

38053832520 is a wasteful number, since it uses less digits than its factorization.

38053832520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 38053832520 in words is "thirty-eight billion, fifty-three million, eight hundred thirty-two thousand, five hundred twenty".