10139744520 has 384 divisors, whose sum is σ = 35896854240. Its totient is φ = 2472837120.

The previous prime is 10139744519. The next prime is 10139744567. The reversal of 10139744520 is 2544793101.

10139744520 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 97 + 44 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 890306244 + 9249438276 = 29838^2 + 96174^2 .

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 95 ways as a sum of consecutive naturals, for example, 58611154 + ... + 58611326.

Almost surely, 2^10139744520 is an apocalyptic number.

10139744520 is a gapful number since it is divisible by the number (10) 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 10139744520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948427120).

10139744520 is an abundant number, since it is smaller than the sum of its proper divisors (25757109720).

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

10139744520 is a wasteful number, since it uses less digits than its factorization.

10139744520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10139744520 in words is "ten billion, one hundred thirty-nine million, seven hundred forty-four thousand, five hundred twenty".