11676625920 has 528 divisors, whose sum is σ = 42489038592. Its totient is φ = 2962391040.

The previous prime is 11676625861. The next prime is 11676625927. The reversal of 11676625920 is 2952667611.

11676625920 is a `hidden beast` number, since 1 + 16 + 7 + 6 + 625 + 9 + 2 + 0 = 666.

11676625920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11676625927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140682199 + ... + 140682281.

It is an arithmetic number, because the mean of its divisors is an integer number (80471664).

Almost surely, 2^11676625920 is an apocalyptic number.

11676625920 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 11676625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244519296).

11676625920 is an abundant number, since it is smaller than the sum of its proper divisors (30812412672).

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

11676625920 is a wasteful number, since it uses less digits than its factorization.

11676625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11676625920 in words is "eleven billion, six hundred seventy-six million, six hundred twenty-five thousand, nine hundred twenty".