27425861280 has 240 divisors, whose sum is σ = 97114031784. Its totient is φ = 7289118720.

The previous prime is 27425861249. The next prime is 27425861291. The reversal of 27425861280 is 8216852472.

27425861280 is a `hidden beast` number, since 2 + 7 + 4 + 25 + 8 + 612 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17199797904 + 10226063376 = 131148^2 + 101124^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4053100 + ... + 4059860.

Almost surely, 2^27425861280 is an apocalyptic number.

27425861280 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 27425861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48557015892).

27425861280 is an abundant number, since it is smaller than the sum of its proper divisors (69688170504).

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

27425861280 is a wasteful number, since it uses less digits than its factorization.

27425861280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 27425861280 in words is "twenty-seven billion, four hundred twenty-five million, eight hundred sixty-one thousand, two hundred eighty".