11677830920 has 96 divisors (see below), whose sum is σ = 32173718400. Its totient is φ = 3793087872.

The previous prime is 11677830907. The next prime is 11677830947. The reversal of 11677830920 is 2903877611.

It is a super-2 number, since 2×11677830920² (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 23 ways as a sum of consecutive naturals, for example, 119552 + ... + 194031.

It is an arithmetic number, because the mean of its divisors is an integer number (335142900).

Almost surely, 2^11677830920 is an apocalyptic number.

11677830920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11677830920 is an abundant number, since it is smaller than the sum of its proper divisors (20495887480).

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

11677830920 is a wasteful number, since it uses less digits than its factorization.

11677830920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313627 (or 313616 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 11677830920 in words is "eleven billion, six hundred seventy-seven million, eight hundred thirty thousand, nine hundred twenty".