11555668800 has 252 divisors, whose sum is σ = 44231643820. Its totient is φ = 2844426240.

The previous prime is 11555668783. The next prime is 11555668853. The reversal of 11555668800 is 886655511.

11555668800 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 566 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 11555390016 = 528^2 + 107496^2 .

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156336 + ... + 218064.

Almost surely, 2^11555668800 is an apocalyptic number.

11555668800 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 11555668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115821910).

11555668800 is an abundant number, since it is smaller than the sum of its proper divisors (32675975020).

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

11555668800 is a wasteful number, since it uses less digits than its factorization.

11555668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61770 (or 61752 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 11555668800 in words is "eleven billion, five hundred fifty-five million, six hundred sixty-eight thousand, eight hundred".