11832980808100 has 81 divisors (see below), whose sum is σ = 25827050135523. Its totient is φ = 4705796880000.

The previous prime is 11832980808079. The next prime is 11832980808113. The reversal of 11832980808100 is 180808923811.

The square root of 11832980808100 is 3439910.

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 3324371837796 + 8508608970304 = 1823286^2 + 2916952^2 .

It is a super-2 number, since 2×11832980808100² (a number of 27 digits) contains 22 as substring.

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, 6570227200 + ... + 6570229000.

Almost surely, 2^{11832980808100} is an apocalyptic number.

11832980808100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11832980808100 is the 3439910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11832980808100

11832980808100 is an abundant number, since it is smaller than the sum of its proper divisors (13994069327423).

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

11832980808100 is an frugal number, since it uses more digits than its factorization.

11832980808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 49.

Multiplying 11832980808100 by its sum of digits (49), we get a square (579816059596900 = 24079370²).

The spelling of 11832980808100 in words is "eleven trillion, eight hundred thirty-two billion, nine hundred eighty million, eight hundred eight thousand, one hundred".