27854481139200 has 840 divisors, whose sum is σ = 103628934672648. Its totient is φ = 7416467619840.

The previous prime is 27854481139189. The next prime is 27854481139213. The reversal of 27854481139200 is 293118445872.

27854481139200 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 4 + 481 + 139 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7343652504 + ... + 7343656296.

Almost surely, 2^{27854481139200} is an apocalyptic number.

27854481139200 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 27854481139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51814467336324).

27854481139200 is an abundant number, since it is smaller than the sum of its proper divisors (75774453533448).

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

27854481139200 is an frugal number, since it uses more digits than its factorization.

27854481139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 27854481139200 in words is "twenty-seven trillion, eight hundred fifty-four billion, four hundred eighty-one million, one hundred thirty-nine thousand, two hundred".