10993411021824 has 1188 divisors, whose sum is σ = 42728106493800. Its totient is φ = 2704890101760.

The previous prime is 10993411021811. The next prime is 10993411021883. The reversal of 10993411021824 is 42812011439901.

10993411021824 is a `hidden beast` number, since 1 + 0 + 99 + 341 + 1 + 0 + 218 + 2 + 4 = 666.

It is a super-2 number, since 2×10993411021824² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10993411021824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1038186322 + ... + 1038196910.

Almost surely, 2^{10993411021824} is an apocalyptic number.

10993411021824 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 10993411021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364053246900).

10993411021824 is an abundant number, since it is smaller than the sum of its proper divisors (31734695471976).

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

10993411021824 is a wasteful number, since it uses less digits than its factorization.

10993411021824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10993411021824 in words is "ten trillion, nine hundred ninety-three billion, four hundred eleven million, twenty-one thousand, eight hundred twenty-four".