11517267564100 has 81 divisors (see below), whose sum is σ = 26550425063127. Its totient is φ = 4335695297280.

The previous prime is 11517267564097. The next prime is 11517267564109. The reversal of 11517267564100 is 146576271511.

The square root of 11517267564100 is 3393710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 269400445444 + 11247867118656 = 519038^2 + 3353784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11517267564109) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 576920719 + ... + 576940681.

Almost surely, 2^{11517267564100} is an apocalyptic number.

11517267564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11517267564100 is the 3393710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11517267564100

11517267564100 is an abundant number, since it is smaller than the sum of its proper divisors (15033157499027).

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

11517267564100 is an frugal number, since it uses more digits than its factorization.

11517267564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39974 (or 19987 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 11517267564100 in words is "eleven trillion, five hundred seventeen billion, two hundred sixty-seven million, five hundred sixty-four thousand, one hundred".