27876378859200 has 252 divisors, whose sum is σ = 99085105766400. Its totient is φ = 7433260369920.

The previous prime is 27876378859183. The next prime is 27876378859207. The reversal of 27876378859200 is 295887367872.

27876378859200 is a `hidden beast` number, since 27 + 8 + 7 + 6 + 3 + 7 + 8 + 8 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27876378859207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295858497 + ... + 295952703.

Almost surely, 2^{27876378859200} is an apocalyptic number.

27876378859200 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 27876378859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49542552883200).

27876378859200 is an abundant number, since it is smaller than the sum of its proper divisors (71208726907200).

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

27876378859200 is a wasteful number, since it uses less digits than its factorization.

27876378859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114784 (or 114766 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 27876378859200 in words is "twenty-seven trillion, eight hundred seventy-six billion, three hundred seventy-eight million, eight hundred fifty-nine thousand, two hundred".