27285022400 has 84 divisors (see below), whose sum is σ = 67242385200. Its totient is φ = 10897075200.

The previous prime is 27285022399. The next prime is 27285022451. The reversal of 27285022400 is 422058272.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044701 + ... + 1070499.

Almost surely, 2^27285022400 is an apocalyptic number.

27285022400 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 27285022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33621192600).

27285022400 is an abundant number, since it is smaller than the sum of its proper divisors (39957362800).

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

27285022400 is a wasteful number, since it uses less digits than its factorization.

27285022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26482 (or 26467 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The spelling of 27285022400 in words is "twenty-seven billion, two hundred eighty-five million, twenty-two thousand, four hundred".