10013638824 has 96 divisors (see below), whose sum is σ = 32357030400. Its totient is φ = 2861036640.

The previous prime is 10013638801. The next prime is 10013638841. The reversal of 10013638824 is 42883631001.

10013638824 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 638 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462472 + ... + 483639.

It is an arithmetic number, because the mean of its divisors is an integer number (337052400).

Almost surely, 2^10013638824 is an apocalyptic number.

10013638824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10013638824 is an abundant number, since it is smaller than the sum of its proper divisors (22343391576).

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

10013638824 is a wasteful number, since it uses less digits than its factorization.

10013638824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946140 (or 946123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10013638824 in words is "ten billion, thirteen million, six hundred thirty-eight thousand, eight hundred twenty-four".