11700351672 has 64 divisors (see below), whose sum is σ = 29365096320. Its totient is φ = 3884926848.

The previous prime is 11700351659. The next prime is 11700351679. The reversal of 11700351672 is 27615300711.

11700351672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11700351679) 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 15 ways as a sum of consecutive naturals, for example, 12354703 + ... + 12355649.

It is an arithmetic number, because the mean of its divisors is an integer number (458829630).

Almost surely, 2^11700351672 is an apocalyptic number.

11700351672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11700351672 is an abundant number, since it is smaller than the sum of its proper divisors (17664744648).

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

11700351672 is a wasteful number, since it uses less digits than its factorization.

11700351672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 11700351672 in words is "eleven billion, seven hundred million, three hundred fifty-one thousand, six hundred seventy-two".