11696815872 has 648 divisors, whose sum is σ = 42520514400. Its totient is φ = 3088834560.

The previous prime is 11696815861. The next prime is 11696815877. The reversal of 11696815872 is 27851869611.

It is a happy number.

11696815872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11696815872² (a number of 21 digits) contains 22 as substring.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11696815877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285288172 + ... + 285288212.

Almost surely, 2^11696815872 is an apocalyptic number.

11696815872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11696815872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21260257200).

11696815872 is an abundant number, since it is smaller than the sum of its proper divisors (30823698528).

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

11696815872 is an equidigital number, since it uses as much as digits as its factorization.

11696815872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 11696815872 in words is "eleven billion, six hundred ninety-six million, eight hundred fifteen thousand, eight hundred seventy-two".