1099975408896 has 576 divisors, whose sum is σ = 3649896169472. Its totient is φ = 286367809536.

The previous prime is 1099975408867. The next prime is 1099975408901. The reversal of 1099975408896 is 6988045799901.

It is a congruent number.

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, 2540358696 + ... + 2540359128.

Almost surely, 2^{1099975408896} is an apocalyptic number.

1099975408896 is a gapful number since it is divisible by the number (16) 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 1099975408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824948084736).

1099975408896 is an abundant number, since it is smaller than the sum of its proper divisors (2549920760576).

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

1099975408896 is a wasteful number, since it uses less digits than its factorization.

1099975408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 75.

The spelling of 1099975408896 in words is "one trillion, ninety-nine billion, nine hundred seventy-five million, four hundred eight thousand, eight hundred ninety-six".