11878804800 has 252 divisors, whose sum is σ = 42324435036. Its totient is φ = 3159859200.

The previous prime is 11878804787. The next prime is 11878804837. The reversal of 11878804800 is 840887811.

11878804800 is a `hidden beast` number, since 11 + 87 + 8 + 80 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1977758784 + 9901046016 = 44472^2 + 99504^2 .

It is a super-2 number, since 2×11878804800² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 8020060 + ... + 8021540.

Almost surely, 2^11878804800 is an apocalyptic number.

11878804800 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 11878804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162217518).

11878804800 is an abundant number, since it is smaller than the sum of its proper divisors (30445630236).

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

11878804800 is a wasteful number, since it uses less digits than its factorization.

11878804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 11878804800 in words is "eleven billion, eight hundred seventy-eight million, eight hundred four thousand, eight hundred".