11679297796900 has 72 divisors (see below), whose sum is σ = 25399685878560. Its totient is φ = 4661475459840.

The previous prime is 11679297796847. The next prime is 11679297796927. The reversal of 11679297796900 is 969779297611.

It is a super-2 number, since 2×11679297796900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138850056 + ... + 138934144.

It is an arithmetic number, because the mean of its divisors is an integer number (352773414980).

Almost surely, 2^{11679297796900} is an apocalyptic number.

11679297796900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11679297796900 is an abundant number, since it is smaller than the sum of its proper divisors (13720388081660).

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

11679297796900 is a wasteful number, since it uses less digits than its factorization.

11679297796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87133 (or 87126 counting only the distinct ones).

The product of its (nonzero) digits is 162030456, while the sum is 73.

The spelling of 11679297796900 in words is "eleven trillion, six hundred seventy-nine billion, two hundred ninety-seven million, seven hundred ninety-six thousand, nine hundred".