11090398861584 has 240 divisors, whose sum is σ = 36797824871808. Its totient is φ = 3167618420736.

The previous prime is 11090398861571. The next prime is 11090398861603. The reversal of 11090398861584 is 48516889309011.

11090398861584 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 0 + 3 + 9 + 8 + 8 + 615 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82587904 + ... + 82722080.

Almost surely, 2^{11090398861584} is an apocalyptic number.

11090398861584 is a gapful number since it is divisible by the number (14) 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 11090398861584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398912435904).

11090398861584 is an abundant number, since it is smaller than the sum of its proper divisors (25707426010224).

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

11090398861584 is a wasteful number, since it uses less digits than its factorization.

11090398861584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137244 (or 137226 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 11090398861584 in words is "eleven trillion, ninety billion, three hundred ninety-eight million, eight hundred sixty-one thousand, five hundred eighty-four".