10129059072 has 360 divisors, whose sum is σ = 33311574912. Its totient is φ = 3061048320.

The previous prime is 10129059029. The next prime is 10129059077. The reversal of 10129059072 is 27095092101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129059077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27599433 + ... + 27599799.

Almost surely, 2^10129059072 is an apocalyptic number.

10129059072 is a gapful number since it is divisible by the number (12) 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 10129059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655787456).

10129059072 is an abundant number, since it is smaller than the sum of its proper divisors (23182515840).

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

10129059072 is an frugal number, since it uses more digits than its factorization.

10129059072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10129059072 in words is "ten billion, one hundred twenty-nine million, fifty-nine thousand, seventy-two".