10125829929600 has 3456 divisors, whose sum is σ = 48585318912000. Its totient is φ = 1981576396800.

The previous prime is 10125829929599. The next prime is 10125829929601. The reversal of 10125829929600 is 692992852101.

10125829929600 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 8 + 2 + 9 + 9 + 29 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (10125829929599) and next prime (10125829929601).

It is not an unprimeable number, because it can be changed into a prime (10125829929601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28205654221 + ... + 28205654579.

It is an arithmetic number, because the mean of its divisors is an integer number (14058252000).

Almost surely, 2^{10125829929600} is an apocalyptic number.

10125829929600 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 10125829929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24292659456000).

10125829929600 is an abundant number, since it is smaller than the sum of its proper divisors (38459488982400).

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

10125829929600 is a wasteful number, since it uses less digits than its factorization.

10125829929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 10125829929600 in words is "ten trillion, one hundred twenty-five billion, eight hundred twenty-nine million, nine hundred twenty-nine thousand, six hundred".