11677107200 has 132 divisors (see below), whose sum is σ = 31577218512. Its totient is φ = 4246118400.

The previous prime is 11677107179. The next prime is 11677107209. The reversal of 11677107200 is 270177611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11677107209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260867 + ... + 302333.

Almost surely, 2^11677107200 is an apocalyptic number.

11677107200 is a gapful number since it is divisible by the number (10) 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 11677107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788609256).

11677107200 is an abundant number, since it is smaller than the sum of its proper divisors (19900111312).

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

11677107200 is a wasteful number, since it uses less digits than its factorization.

11677107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41508 (or 41485 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 32.

The spelling of 11677107200 in words is "eleven billion, six hundred seventy-seven million, one hundred seven thousand, two hundred".