11715601162100 has 54 divisors (see below), whose sum is σ = 27944129379222. Its totient is φ = 4260218600000.

The previous prime is 11715601162093. The next prime is 11715601162103. The reversal of 11715601162100 is 126110651711.

It can be written as a sum of positive squares in 3 ways, for example, as 3614211627664 + 8101389534436 = 1901108^2 + 2846294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11715601162103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 484103651 + ... + 484127850.

It is an arithmetic number, because the mean of its divisors is an integer number (517483877393).

Almost surely, 2^{11715601162100} is an apocalyptic number.

11715601162100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11715601162100 is an abundant number, since it is smaller than the sum of its proper divisors (16228528217122).

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

11715601162100 is a wasteful number, since it uses less digits than its factorization.

11715601162100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968231537 (or 968231519 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 32.

The spelling of 11715601162100 in words is "eleven trillion, seven hundred fifteen billion, six hundred one million, one hundred sixty-two thousand, one hundred".