11877840000 has 960 divisors, whose sum is σ = 48714906240. Its totient is φ = 2861568000.

The previous prime is 11877839993. The next prime is 11877840071. The reversal of 11877840000 is 4877811.

11877840000 is a `hidden beast` number, since 1 + 187 + 78 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 252719977 + ... + 252720023.

It is an arithmetic number, because the mean of its divisors is an integer number (50744694).

Almost surely, 2^11877840000 is an apocalyptic number.

11877840000 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 11877840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24357453120).

11877840000 is an abundant number, since it is smaller than the sum of its proper divisors (36837066240).

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

11877840000 is an frugal number, since it uses more digits than its factorization.

11877840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

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

The spelling of 11877840000 in words is "eleven billion, eight hundred seventy-seven million, eight hundred forty thousand".