10999814400 has 729 divisors, whose sum is σ = 43388641569. Its totient is φ = 2658078720.

The previous prime is 10999814389. The next prime is 10999814459. The reversal of 10999814400 is 441899901.

The square root of 10999814400 is 104880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3959933184 + 7039881216 = 62928^2 + 83904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 478252789 + ... + 478252811.

Almost surely, 2^10999814400 is an apocalyptic number.

10999814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10999814400 is the 104880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10999814400

10999814400 is an abundant number, since it is smaller than the sum of its proper divisors (32388827169).

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

10999814400 is a wasteful number, since it uses less digits than its factorization.

10999814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10999814400 in words is "ten billion, nine hundred ninety-nine million, eight hundred fourteen thousand, four hundred".