11930875892100 has 567 divisors, whose sum is σ = 42703606307509. Its totient is φ = 2889846590400.

The previous prime is 11930875892087. The next prime is 11930875892129. The reversal of 11930875892100 is 129857803911.

The square root of 11930875892100 is 3454110.

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

11930875892100 is a `hidden beast` number, since 1 + 1 + 9 + 30 + 8 + 7 + 589 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4295115321156 + 7635760570944 = 2072466^2 + 2763288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 10258706119 + ... + 10258707281.

Almost surely, 2^{11930875892100} is an apocalyptic number.

11930875892100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11930875892100 is the 3454110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11930875892100

11930875892100 is an abundant number, since it is smaller than the sum of its proper divisors (30772730415409).

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

11930875892100 is an equidigital number, since it uses as much as digits as its factorization.

11930875892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 11930875892100 in words is "eleven trillion, nine hundred thirty billion, eight hundred seventy-five million, eight hundred ninety-two thousand, one hundred".