11191319388480 has 1344 divisors, whose sum is σ = 48607163136000. Its totient is φ = 2127022571520.

The previous prime is 11191319388467. The next prime is 11191319388503. The reversal of 11191319388480 is 8488391319111.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11191319388480² (a number of 27 digits) contains 22 as substring.

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 11191319388480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 448016631 + ... + 448041609.

It is an arithmetic number, because the mean of its divisors is an integer number (36166044000).

Almost surely, 2^{11191319388480} is an apocalyptic number.

11191319388480 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 11191319388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303581568000).

11191319388480 is an abundant number, since it is smaller than the sum of its proper divisors (37415843747520).

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

11191319388480 is a wasteful number, since it uses less digits than its factorization.

11191319388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25076 (or 25055 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 57.

The spelling of 11191319388480 in words is "eleven trillion, one hundred ninety-one billion, three hundred nineteen million, three hundred eighty-eight thousand, four hundred eighty".