11961214328180 has 96 divisors (see below), whose sum is σ = 28496338080000. Its totient is φ = 4180790412288.

The previous prime is 11961214328137. The next prime is 11961214328227. The reversal of 11961214328180 is 8182341216911.

It is a super-2 number, since 2×11961214328180² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5507696 + ... + 7365944.

It is an arithmetic number, because the mean of its divisors is an integer number (296836855000).

Almost surely, 2^{11961214328180} is an apocalyptic number.

11961214328180 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 11961214328180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14248169040000).

11961214328180 is an abundant number, since it is smaller than the sum of its proper divisors (16535123751820).

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

11961214328180 is a wasteful number, since it uses less digits than its factorization.

11961214328180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859593 (or 1859591 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 11961214328180 in words is "eleven trillion, nine hundred sixty-one billion, two hundred fourteen million, three hundred twenty-eight thousand, one hundred eighty".