27354395049984 has 250 divisors, whose sum is σ = 81729534219630. Its totient is φ = 9117678698496.

The previous prime is 27354395049979. The next prime is 27354395049997. The reversal of 27354395049984 is 48994059345372.

27354395049984 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 4 + 3 + 9 + 50 + 499 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26635508121600 + 718886928384 = 5160960^2 + 847872^2 .

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 9 ways as a sum of consecutive naturals, for example, 1358944432 + ... + 1358964560.

Almost surely, 2^{27354395049984} is an apocalyptic number.

27354395049984 is a gapful number since it is divisible by the number (24) 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 27354395049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40864767109815).

27354395049984 is an abundant number, since it is smaller than the sum of its proper divisors (54375139169646).

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

27354395049984 is an frugal number, since it uses more digits than its factorization.

27354395049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20189 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 27354395049984 in words is "twenty-seven trillion, three hundred fifty-four billion, three hundred ninety-five million, forty-nine thousand, nine hundred eighty-four".