10984780800 has 792 divisors, whose sum is σ = 46196696000. Its totient is φ = 2492743680.

The previous prime is 10984780739. The next prime is 10984780801. The reversal of 10984780800 is 808748901.

10984780800 is a `hidden beast` number, since 10 + 98 + 478 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984780801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79027131 + ... + 79027269.

Almost surely, 2^10984780800 is an apocalyptic number.

10984780800 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 10984780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098348000).

10984780800 is an abundant number, since it is smaller than the sum of its proper divisors (35211915200).

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

10984780800 is a wasteful number, since it uses less digits than its factorization.

10984780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10984780800 in words is "ten billion, nine hundred eighty-four million, seven hundred eighty thousand, eight hundred".