11579912100 has 243 divisors, whose sum is σ = 38740880451. Its totient is φ = 2892556800.

The previous prime is 11579912059. The next prime is 11579912101. The reversal of 11579912100 is 121997511.

The square root of 11579912100 is 107610.

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 270865764 + 11309046336 = 16458^2 + 106344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11579912101) 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 80 ways as a sum of consecutive naturals, for example, 54880995 + ... + 54881205.

Almost surely, 2^11579912100 is an apocalyptic number.

11579912100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11579912100 is the 107610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11579912100

11579912100 is an abundant number, since it is smaller than the sum of its proper divisors (27160968351).

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

11579912100 is a wasteful number, since it uses less digits than its factorization.

11579912100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

Multiplying 11579912100 by its sum of digits (36), we get a square (416876835600 = 645660²).

11579912100 divided by its sum of digits (36) gives a square (321664225 = 17935²).

The spelling of 11579912100 in words is "eleven billion, five hundred seventy-nine million, nine hundred twelve thousand, one hundred".