11931679030770 has 192 divisors, whose sum is σ = 31370494731264. Its totient is φ = 3146306042880.

The previous prime is 11931679030757. The next prime is 11931679030781. The reversal of 11931679030770 is 7703097613911.

11931679030770 is a `hidden beast` number, since 1 + 1 + 93 + 167 + 90 + 307 + 7 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3286056855 + ... + 3286060485.

It is an arithmetic number, because the mean of its divisors is an integer number (163387993392).

Almost surely, 2^{11931679030770} is an apocalyptic number.

11931679030770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11931679030770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685247365632).

11931679030770 is an abundant number, since it is smaller than the sum of its proper divisors (19438815700494).

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

11931679030770 is a wasteful number, since it uses less digits than its factorization.

11931679030770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The spelling of 11931679030770 in words is "eleven trillion, nine hundred thirty-one billion, six hundred seventy-nine million, thirty thousand, seven hundred seventy".