10988932800 has 168 divisors, whose sum is σ = 36114888400. Its totient is φ = 2925342720.

The previous prime is 10988932789. The next prime is 10988932813. The reversal of 10988932800 is 823988901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10988932800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3401586 + ... + 3404814.

Almost surely, 2^10988932800 is an apocalyptic number.

10988932800 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 10988932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057444200).

10988932800 is an abundant number, since it is smaller than the sum of its proper divisors (25125955600).

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

10988932800 is a wasteful number, since it uses less digits than its factorization.

10988932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 10988932800 in words is "ten billion, nine hundred eighty-eight million, nine hundred thirty-two thousand, eight hundred".