11526364502500 has 45 divisors (see below), whose sum is σ = 25206225114301. Its totient is φ = 4610477900000.

The previous prime is 11526364502437. The next prime is 11526364502599. The reversal of 11526364502500 is 520546362511.

The square root of 11526364502500 is 3395050.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6250670017956 + 5275694484544 = 2500134^2 + 2296888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 169718550 + ... + 169786450.

Almost surely, 2^{11526364502500} is an apocalyptic number.

11526364502500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11526364502500 is the 3395050-th square number.

It is an amenable number.

11526364502500 is an abundant number, since it is smaller than the sum of its proper divisors (13679860611801).

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

11526364502500 is an frugal number, since it uses more digits than its factorization.

11526364502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135826 (or 67908 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 11526364502500 in words is "eleven trillion, five hundred twenty-six billion, three hundred sixty-four million, five hundred two thousand, five hundred".