27381058560 has 440 divisors, whose sum is σ = 99225393696. Its totient is φ = 7219445760.

The previous prime is 27381058547. The next prime is 27381058571. The reversal of 27381058560 is 6585018372.

27381058560 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 1 + 0 + 585 + 60 = 666.

It is a super-2 number, since 2×27381058560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42715840 + ... + 42716480.

Almost surely, 2^27381058560 is an apocalyptic number.

27381058560 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 27381058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49612696848).

27381058560 is an abundant number, since it is smaller than the sum of its proper divisors (71844335136).

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

27381058560 is a wasteful number, since it uses less digits than its factorization.

27381058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 27381058560 in words is "twenty-seven billion, three hundred eighty-one million, fifty-eight thousand, five hundred sixty".