11878614000 has 480 divisors, whose sum is σ = 47935592640. Its totient is φ = 2709504000.

The previous prime is 11878613993. The next prime is 11878614031. The reversal of 11878614000 is 41687811.

It is a super-2 number, since 2×11878614000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3364236 + ... + 3367764.

It is an arithmetic number, because the mean of its divisors is an integer number (99865818).

Almost surely, 2^11878614000 is an apocalyptic number.

11878614000 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 11878614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23967796320).

11878614000 is an abundant number, since it is smaller than the sum of its proper divisors (36056978640).

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

11878614000 is a wasteful number, since it uses less digits than its factorization.

11878614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11878614000 in words is "eleven billion, eight hundred seventy-eight million, six hundred fourteen thousand".