10129109760 has 864 divisors, whose sum is σ = 46069470720. Its totient is φ = 1990656000.

The previous prime is 10129109743. The next prime is 10129109789. The reversal of 10129109760 is 6790192101.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 16853460 + ... + 16854060.

Almost surely, 2^10129109760 is an apocalyptic number.

10129109760 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 10129109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034735360).

10129109760 is an abundant number, since it is smaller than the sum of its proper divisors (35940360960).

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

10129109760 is a wasteful number, since it uses less digits than its factorization.

10129109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10129109760 in words is "ten billion, one hundred twenty-nine million, one hundred nine thousand, seven hundred sixty".