27478827878400 has 432 divisors, whose sum is σ = 100699941822480. Its totient is φ = 7157270937600.

The previous prime is 27478827878389. The next prime is 27478827878507. The reversal of 27478827878400 is 487872887472.

27478827878400 is a `hidden beast` number, since 2 + 7 + 4 + 7 + 8 + 82 + 78 + 78 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19120995 + ... + 20507805.

Almost surely, 2^{27478827878400} is an apocalyptic number.

27478827878400 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 27478827878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349970911240).

27478827878400 is an abundant number, since it is smaller than the sum of its proper divisors (73221113944080).

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

27478827878400 is a wasteful number, since it uses less digits than its factorization.

27478827878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386892 (or 1386864 counting only the distinct ones).

The product of its (nonzero) digits is 629407744, while the sum is 72.

The spelling of 27478827878400 in words is "twenty-seven trillion, four hundred seventy-eight billion, eight hundred twenty-seven million, eight hundred seventy-eight thousand, four hundred".