10126715062500 has 189 divisors, whose sum is σ = 32004740002053. Its totient is φ = 2699820900000.

The previous prime is 10126715062481. The next prime is 10126715062517. The reversal of 10126715062500 is 526051762101.

The square root of 10126715062500 is 3182250.

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

10126715062500 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 7 + 1 + 5 + 0 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8871974559396 + 1254740503104 = 2978586^2 + 1120152^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2386685379 + ... + 2386689621.

Almost surely, 2^{10126715062500} is an apocalyptic number.

10126715062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10126715062500 is the 3182250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126715062500

10126715062500 is an abundant number, since it is smaller than the sum of its proper divisors (21878024939553).

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

10126715062500 is an frugal number, since it uses more digits than its factorization.

10126715062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 10126715062500 by its sum of digits (36), we get a square (364561742250000 = 19093500²).

10126715062500 divided by its sum of digits (36) gives a square (281297640625 = 530375²).

The spelling of 10126715062500 in words is "ten trillion, one hundred twenty-six billion, seven hundred fifteen million, sixty-two thousand, five hundred".