11093421588480 has 3040 divisors, whose sum is σ = 52618617722880. Its totient is φ = 2167532421120.

The previous prime is 11093421588437. The next prime is 11093421588497. The reversal of 11093421588480 is 8488512439011.

11093421588480 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 3 + 4 + 2 + 158 + 8 + 480 = 666.

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 159 ways as a sum of consecutive naturals, for example, 188024094691 + ... + 188024094749.

Almost surely, 2^{11093421588480} is an apocalyptic number.

11093421588480 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 11093421588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26309308861440).

11093421588480 is an abundant number, since it is smaller than the sum of its proper divisors (41525196134400).

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

11093421588480 is an frugal number, since it uses more digits than its factorization.

11093421588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 11093421588480 in words is "eleven trillion, ninety-three billion, four hundred twenty-one million, five hundred eighty-eight thousand, four hundred eighty".