11056996800 has 504 divisors, whose sum is σ = 42599914800. Its totient is φ = 2789406720.

The previous prime is 11056996771. The next prime is 11056996813. The reversal of 11056996800 is 869965011.

11056996800 is a `hidden beast` number, since 1 + 1 + 0 + 569 + 9 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15594846 + ... + 15595554.

Almost surely, 2^11056996800 is an apocalyptic number.

11056996800 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 11056996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21299957400).

11056996800 is an abundant number, since it is smaller than the sum of its proper divisors (31542918000).

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

11056996800 is a wasteful number, since it uses less digits than its factorization.

11056996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 738 counting only the distinct ones).

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

The spelling of 11056996800 in words is "eleven billion, fifty-six million, nine hundred ninety-six thousand, eight hundred".