11177856320 has 56 divisors (see below), whose sum is σ = 28183005864. Its totient is φ = 4208132096.

The previous prime is 11177856311. The next prime is 11177856353. The reversal of 11177856320 is 2365877111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4517990656 + 6659865664 = 67216^2 + 81608^2 .

It is a super-4 number, since 4×11177856320⁴ (a number of 41 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021937 + ... + 1032816.

Almost surely, 2^11177856320 is an apocalyptic number.

11177856320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11177856320 is an abundant number, since it is smaller than the sum of its proper divisors (17005149544).

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

11177856320 is a wasteful number, since it uses less digits than its factorization.

11177856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054787 (or 2054777 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 11177856320 in words is "eleven billion, one hundred seventy-seven million, eight hundred fifty-six thousand, three hundred twenty".