11890791360 has 448 divisors, whose sum is σ = 48157424640. Its totient is φ = 2705633280.

The previous prime is 11890791329. The next prime is 11890791379. The reversal of 11890791360 is 6319709811.

11890791360 is a `hidden beast` number, since 118 + 90 + 7 + 91 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25461847 + ... + 25462313.

Almost surely, 2^11890791360 is an apocalyptic number.

11890791360 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 11890791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078712320).

11890791360 is an abundant number, since it is smaller than the sum of its proper divisors (36266633280).

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

11890791360 is a wasteful number, since it uses less digits than its factorization.

11890791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11890791360 in words is "eleven billion, eight hundred ninety million, seven hundred ninety-one thousand, three hundred sixty".