11676351960 has 1024 divisors, whose sum is σ = 52093440000. Its totient is φ = 2270840832.

The previous prime is 11676351919. The next prime is 11676352021. The reversal of 11676351960 is 6915367611.

11676351960 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 635 + 1 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 315577062 + ... + 315577098.

It is an arithmetic number, because the mean of its divisors is an integer number (50872500).

Almost surely, 2^11676351960 is an apocalyptic number.

11676351960 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 11676351960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720000).

11676351960 is an abundant number, since it is smaller than the sum of its proper divisors (40417088040).

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

11676351960 is a wasteful number, since it uses less digits than its factorization.

11676351960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11676351960 in words is "eleven billion, six hundred seventy-six million, three hundred fifty-one thousand, nine hundred sixty".