10139683145760 has 576 divisors, whose sum is σ = 40195031804928. Its totient is φ = 2279703232512.

The previous prime is 10139683145747. The next prime is 10139683145773. The reversal of 10139683145760 is 6754138693101.

10139683145760 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 9 + 68 + 3 + 1 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10139683145747) and next prime (10139683145773).

It is a junction number, because it is equal to n+sod(n) for n = 10139683145697 and 10139683145706.

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, 274449849 + ... + 274486791.

It is an arithmetic number, because the mean of its divisors is an integer number (69783041328).

Almost surely, 2^{10139683145760} is an apocalyptic number.

10139683145760 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 10139683145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20097515902464).

10139683145760 is an abundant number, since it is smaller than the sum of its proper divisors (30055348659168).

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

10139683145760 is a wasteful number, since it uses less digits than its factorization.

10139683145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37417 (or 37406 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10139683145760 in words is "ten trillion, one hundred thirty-nine billion, six hundred eighty-three million, one hundred forty-five thousand, seven hundred sixty".