1099872400896 has 480 divisors, whose sum is σ = 3378158784000. Its totient is φ = 357143592960.

The previous prime is 1099872400871. The next prime is 1099872400909. The reversal of 1099872400896 is 6980042789901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786184005 + ... + 786185403.

It is an arithmetic number, because the mean of its divisors is an integer number (7037830800).

Almost surely, 2^{1099872400896} is an apocalyptic number.

1099872400896 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 1099872400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689079392000).

1099872400896 is an abundant number, since it is smaller than the sum of its proper divisors (2278286383104).

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

1099872400896 is an frugal number, since it uses more digits than its factorization.

1099872400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1099872400896 in words is "one trillion, ninety-nine billion, eight hundred seventy-two million, four hundred thousand, eight hundred ninety-six".