10963612800 has 864 divisors, whose sum is σ = 48290095620. Its totient is φ = 2353397760.

The previous prime is 10963612771. The next prime is 10963612801. The reversal of 10963612800 is 821636901.

10963612800 is a `hidden beast` number, since 1 + 0 + 9 + 636 + 12 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7720082496 + 3243530304 = 87864^2 + 56952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10963612801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23990172 + ... + 23990628.

Almost surely, 2^10963612800 is an apocalyptic number.

10963612800 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 10963612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145047810).

10963612800 is an abundant number, since it is smaller than the sum of its proper divisors (37326482820).

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

10963612800 is a wasteful number, since it uses less digits than its factorization.

10963612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10963612800 in words is "ten billion, nine hundred sixty-three million, six hundred twelve thousand, eight hundred".