11792191057920 has 2496 divisors, whose sum is σ = 54059782210560. Its totient is φ = 2374475710464.

The previous prime is 11792191057847. The next prime is 11792191057957. The reversal of 11792191057920 is 2975019129711.

11792191057920 is a `hidden beast` number, since 1 + 17 + 9 + 21 + 9 + 10 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26618941219 + ... + 26618941661.

Almost surely, 2^{11792191057920} is an apocalyptic number.

11792191057920 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 11792191057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27029891105280).

11792191057920 is an abundant number, since it is smaller than the sum of its proper divisors (42267591152640).

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

11792191057920 is a wasteful number, since it uses less digits than its factorization.

11792191057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 54.

The spelling of 11792191057920 in words is "eleven trillion, seven hundred ninety-two billion, one hundred ninety-one million, fifty-seven thousand, nine hundred twenty".