11245276800 has 576 divisors, whose sum is σ = 42127895160. Its totient is φ = 2853273600.

The previous prime is 11245276799. The next prime is 11245276859. The reversal of 11245276800 is 867254211.

11245276800 is a `hidden beast` number, since 1 + 124 + 527 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1839380544 + 9405896256 = 42888^2 + 96984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 65001514 + ... + 65001686.

Almost surely, 2^11245276800 is an apocalyptic number.

11245276800 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 11245276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21063947580).

11245276800 is an abundant number, since it is smaller than the sum of its proper divisors (30882618360).

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

11245276800 is a wasteful number, since it uses less digits than its factorization.

11245276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11245276800 in words is "eleven billion, two hundred forty-five million, two hundred seventy-six thousand, eight hundred".