27878860800 has 1152 divisors, whose sum is σ = 121542220800. Its totient is φ = 6131220480.

The previous prime is 27878860777. The next prime is 27878860829. The reversal of 27878860800 is 806887872.

27878860800 is a `hidden beast` number, since 27 + 8 + 7 + 8 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416102367 + ... + 416102433.

It is an arithmetic number, because the mean of its divisors is an integer number (105505400).

Almost surely, 2^27878860800 is an apocalyptic number.

27878860800 is a gapful number since it is divisible by the number (20) 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 27878860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60771110400).

27878860800 is an abundant number, since it is smaller than the sum of its proper divisors (93663360000).

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

27878860800 is a wasteful number, since it uses less digits than its factorization.

27878860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 27878860800 in words is "twenty-seven billion, eight hundred seventy-eight million, eight hundred sixty thousand, eight hundred".