10129639225860 has 1728 divisors, whose sum is σ = 42243030144000. Its totient is φ = 2005100697600.

The previous prime is 10129639225841. The next prime is 10129639225891. The reversal of 10129639225860 is 6852293692101.

10129639225860 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 6 + 39 + 22 + 586 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10129639225797 and 10129639225806.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7335002370 + ... + 7335003750.

It is an arithmetic number, because the mean of its divisors is an integer number (24446198000).

Almost surely, 2^{10129639225860} is an apocalyptic number.

10129639225860 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 10129639225860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121515072000).

10129639225860 is an abundant number, since it is smaller than the sum of its proper divisors (32113390918140).

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

10129639225860 is a wasteful number, since it uses less digits than its factorization.

10129639225860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10129639225860 in words is "ten trillion, one hundred twenty-nine billion, six hundred thirty-nine million, two hundred twenty-five thousand, eight hundred sixty".