11981769262176 has 96 divisors (see below), whose sum is σ = 36400311843840. Its totient is φ = 3380028926976.

The previous prime is 11981769262171. The next prime is 11981769262201. The reversal of 11981769262176 is 67126296718911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11981769262171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112795101 + ... + 112901276.

It is an arithmetic number, because the mean of its divisors is an integer number (379169915040).

Almost surely, 2^{11981769262176} is an apocalyptic number.

11981769262176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11981769262176 is an abundant number, since it is smaller than the sum of its proper divisors (24418542581664).

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

11981769262176 is a wasteful number, since it uses less digits than its factorization.

11981769262176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225696476 (or 225696468 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 66.

The spelling of 11981769262176 in words is "eleven trillion, nine hundred eighty-one billion, seven hundred sixty-nine million, two hundred sixty-two thousand, one hundred seventy-six".