10998892800 has 810 divisors, whose sum is σ = 47416833618. Its totient is φ = 2508226560.

The previous prime is 10998892769. The next prime is 10998892831. The reversal of 10998892800 is 829889901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10998892769) and next prime (10998892831).

It can be written as a sum of positive squares in 3 ways, for example, as 9144576 + 10989748224 = 3024^2 + 104832^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401384 + ... + 25401816.

Almost surely, 2^10998892800 is an apocalyptic number.

10998892800 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 10998892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708416809).

10998892800 is an abundant number, since it is smaller than the sum of its proper divisors (36417940818).

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

10998892800 is an equidigital number, since it uses as much as digits as its factorization.

10998892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 10998892800 in words is "ten billion, nine hundred ninety-eight million, eight hundred ninety-two thousand, eight hundred".