10159072528900 has 81 divisors (see below), whose sum is σ = 23419493147869. Its totient is φ = 3824388021760.

The previous prime is 10159072528897. The next prime is 10159072528919. The reversal of 10159072528900 is 982527095101.

The square root of 10159072528900 is 3187330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2210913243396 + 7948159285504 = 1486914^2 + 2819248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 541836726 + ... + 541855474.

Almost surely, 2^{10159072528900} is an apocalyptic number.

10159072528900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10159072528900 is the 3187330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10159072528900

10159072528900 is an abundant number, since it is smaller than the sum of its proper divisors (13260420618969).

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

10159072528900 is an frugal number, since it uses more digits than its factorization.

10159072528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37546 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

Multiplying 10159072528900 by its sum of digits (49), we get a square (497794553916100 = 22311310²).

The spelling of 10159072528900 in words is "ten trillion, one hundred fifty-nine billion, seventy-two million, five hundred twenty-eight thousand, nine hundred".