11672788900 has 36 divisors (see below), whose sum is σ = 25807887252. Its totient is φ = 4581016960.

The previous prime is 11672788891. The next prime is 11672788937. The reversal of 11672788900 is 988727611.

It can be written as a sum of positive squares in 6 ways, for example, as 297286564 + 11375502336 = 17242^2 + 106656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1095907 + ... + 1106506.

It is an arithmetic number, because the mean of its divisors is an integer number (716885757).

Almost surely, 2^11672788900 is an apocalyptic number.

11672788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11672788900 is an abundant number, since it is smaller than the sum of its proper divisors (14135098352).

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

11672788900 is a wasteful number, since it uses less digits than its factorization.

11672788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202480 (or 2202473 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 49.

The spelling of 11672788900 in words is "eleven billion, six hundred seventy-two million, seven hundred eighty-eight thousand, nine hundred".