11190904033920 has 512 divisors, whose sum is σ = 39702439526400. Its totient is φ = 2662575390720.

The previous prime is 11190904033879. The next prime is 11190904033931. The reversal of 11190904033920 is 2933040909111.

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, 667746501 + ... + 667763259.

It is an arithmetic number, because the mean of its divisors is an integer number (77543827200).

Almost surely, 2^{11190904033920} is an apocalyptic number.

11190904033920 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 11190904033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19851219763200).

11190904033920 is an abundant number, since it is smaller than the sum of its proper divisors (28511535492480).

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

11190904033920 is a wasteful number, since it uses less digits than its factorization.

11190904033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17688 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 11190904033920 in words is "eleven trillion, one hundred ninety billion, nine hundred four million, thirty-three thousand, nine hundred twenty".