10990954800 has 1200 divisors, whose sum is σ = 49117094400. Its totient is φ = 2347107840.

The previous prime is 10990954769. The next prime is 10990954813. The reversal of 10990954800 is 845909901.

10990954800 is a `hidden beast` number, since 10 + 9 + 90 + 9 + 548 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 255603579 + ... + 255603621.

It is an arithmetic number, because the mean of its divisors is an integer number (40930912).

Almost surely, 2^10990954800 is an apocalyptic number.

10990954800 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 10990954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558547200).

10990954800 is an abundant number, since it is smaller than the sum of its proper divisors (38126139600).

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

10990954800 is a wasteful number, since it uses less digits than its factorization.

10990954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10990954800 in words is "ten billion, nine hundred ninety million, nine hundred fifty-four thousand, eight hundred".