11794917888 has 480 divisors, whose sum is σ = 39650170560. Its totient is φ = 3344302080.

The previous prime is 11794917859. The next prime is 11794917929. The reversal of 11794917888 is 88871949711.

11794917888 is a `hidden beast` number, since 1 + 1 + 79 + 491 + 78 + 8 + 8 = 666.

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, 48941448 + ... + 48941688.

It is an arithmetic number, because the mean of its divisors is an integer number (82604522).

Almost surely, 2^11794917888 is an apocalyptic number.

11794917888 is a gapful number since it is divisible by the number (18) 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 11794917888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19825085280).

11794917888 is an abundant number, since it is smaller than the sum of its proper divisors (27855252672).

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

11794917888 is a wasteful number, since it uses less digits than its factorization.

11794917888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 63.

The spelling of 11794917888 in words is "eleven billion, seven hundred ninety-four million, nine hundred seventeen thousand, eight hundred eighty-eight".