27970476103080 has 1440 divisors, whose sum is σ = 110800016570880. Its totient is φ = 6118483392000.

The previous prime is 27970476103021. The next prime is 27970476103091. The reversal of 27970476103080 is 8030167407972.

27970476103080 is a `hidden beast` number, since 2 + 7 + 97 + 0 + 476 + 1 + 0 + 3 + 0 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 125428143849 + ... + 125428144071.

It is an arithmetic number, because the mean of its divisors is an integer number (76944455952).

Almost surely, 2^{27970476103080} is an apocalyptic number.

27970476103080 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 27970476103080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55400008285440).

27970476103080 is an abundant number, since it is smaller than the sum of its proper divisors (82829540467800).

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

27970476103080 is a wasteful number, since it uses less digits than its factorization.

27970476103080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 27970476103080 in words is "twenty-seven trillion, nine hundred seventy billion, four hundred seventy-six million, one hundred three thousand, eighty".