11878070400 has 864 divisors, whose sum is σ = 52015532400. Its totient is φ = 2566287360.

The previous prime is 11878070377. The next prime is 11878070423. The reversal of 11878070400 is 407087811.

11878070400 is a `hidden beast` number, since 1 + 187 + 8 + 0 + 70 + 400 = 666.

11878070400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11878070377) and next prime (11878070423).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812579 + ... + 26813021.

Almost surely, 2^11878070400 is an apocalyptic number.

11878070400 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 11878070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26007766200).

11878070400 is an abundant number, since it is smaller than the sum of its proper divisors (40137462000).

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

11878070400 is a wasteful number, since it uses less digits than its factorization.

11878070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 11878070400 in words is "eleven billion, eight hundred seventy-eight million, seventy thousand, four hundred".