11921797544160 has 768 divisors, whose sum is σ = 49484436019200. Its totient is φ = 2345916432384.

The previous prime is 11921797544149. The next prime is 11921797544221. The reversal of 11921797544160 is 6144579712911.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 11921797544160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31283724 + ... + 31662516.

It is an arithmetic number, because the mean of its divisors is an integer number (64432859400).

Almost surely, 2^{11921797544160} is an apocalyptic number.

11921797544160 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 11921797544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24742218009600).

11921797544160 is an abundant number, since it is smaller than the sum of its proper divisors (37562638475040).

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

11921797544160 is a wasteful number, since it uses less digits than its factorization.

11921797544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378883 (or 378875 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 11921797544160 in words is "eleven trillion, nine hundred twenty-one billion, seven hundred ninety-seven million, five hundred forty-four thousand, one hundred sixty".