27972489600 has 864 divisors, whose sum is σ = 114809058000. Its totient is φ = 6467788800.

The previous prime is 27972489551. The next prime is 27972489631. The reversal of 27972489600 is 698427972.

27972489600 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 24 + 8 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80150226 + ... + 80150574.

Almost surely, 2^27972489600 is an apocalyptic number.

27972489600 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 27972489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57404529000).

27972489600 is an abundant number, since it is smaller than the sum of its proper divisors (86836568400).

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

27972489600 is a wasteful number, since it uses less digits than its factorization.

27972489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 27972489600 in words is "twenty-seven billion, nine hundred seventy-two million, four hundred eighty-nine thousand, six hundred".