10998222400 has 126 divisors (see below), whose sum is σ = 29746909010. Its totient is φ = 3999283200.

The previous prime is 10998222397. The next prime is 10998222457. The reversal of 10998222400 is 422289901.

It can be written as a sum of positive squares in 3 ways, for example, as 160579584 + 10837642816 = 12672^2 + 104104^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10998222400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165196 + ... + 222004.

Almost surely, 2^10998222400 is an apocalyptic number.

10998222400 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 10998222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873454505).

10998222400 is an abundant number, since it is smaller than the sum of its proper divisors (18748686610).

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

10998222400 is a wasteful number, since it uses less digits than its factorization.

10998222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56853 (or 56827 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 10998222400 in words is "ten billion, nine hundred ninety-eight million, two hundred twenty-two thousand, four hundred".