11935079856 has 240 divisors, whose sum is σ = 39628892160. Its totient is φ = 3281264640.

The previous prime is 11935079837. The next prime is 11935079903. The reversal of 11935079856 is 65897053911.

It is a super-2 number, since 2×11935079856² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6029875 + ... + 6031853.

It is an arithmetic number, because the mean of its divisors is an integer number (165120384).

Almost surely, 2^11935079856 is an apocalyptic number.

11935079856 is a gapful number since it is divisible by the number (16) 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 11935079856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19814446080).

11935079856 is an abundant number, since it is smaller than the sum of its proper divisors (27693812304).

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

11935079856 is a wasteful number, since it uses less digits than its factorization.

11935079856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 11935079856 in words is "eleven billion, nine hundred thirty-five million, seventy-nine thousand, eight hundred fifty-six".