10139856960 has 336 divisors, whose sum is σ = 34503969600. Its totient is φ = 2519838720.

The previous prime is 10139856949. The next prime is 10139857001. The reversal of 10139856960 is 6965893101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26754051 + ... + 26754429.

Almost surely, 2^10139856960 is an apocalyptic number.

10139856960 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 10139856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251984800).

10139856960 is an abundant number, since it is smaller than the sum of its proper divisors (24364112640).

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

10139856960 is a wasteful number, since it uses less digits than its factorization.

10139856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 10139856960 in words is "ten billion, one hundred thirty-nine million, eight hundred fifty-six thousand, nine hundred sixty".