11977171296 has 96 divisors (see below), whose sum is σ = 33533105760. Its totient is φ = 3730046976.

The previous prime is 11977171259. The next prime is 11977171309. The reversal of 11977171296 is 69217177911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196800 + ... + 250368.

It is an arithmetic number, because the mean of its divisors is an integer number (349303185).

Almost surely, 2^11977171296 is an apocalyptic number.

11977171296 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 11977171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766552880).

11977171296 is an abundant number, since it is smaller than the sum of its proper divisors (21555934464).

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

11977171296 is a wasteful number, since it uses less digits than its factorization.

11977171296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53736 (or 53728 counting only the distinct ones).

The product of its digits is 333396, while the sum is 51.

The spelling of 11977171296 in words is "eleven billion, nine hundred seventy-seven million, one hundred seventy-one thousand, two hundred ninety-six".