11956171148910 has 192 divisors, whose sum is σ = 33034434705792. Its totient is φ = 2989852090368.

The previous prime is 11956171148881. The next prime is 11956171148921. The reversal of 11956171148910 is 1984117165911.

11956171148910 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 617 + 1 + 1 + 4 + 8 + 9 + 10 = 666.

It is a congruent number.

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, 1291577002 + ... + 1291586258.

It is an arithmetic number, because the mean of its divisors is an integer number (172054347426).

Almost surely, 2^{11956171148910} is an apocalyptic number.

11956171148910 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 11956171148910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517217352896).

11956171148910 is an abundant number, since it is smaller than the sum of its proper divisors (21078263556882).

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

11956171148910 is a wasteful number, since it uses less digits than its factorization.

11956171148910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 54.

The spelling of 11956171148910 in words is "eleven trillion, nine hundred fifty-six billion, one hundred seventy-one million, one hundred forty-eight thousand, nine hundred ten".