27109475680 has 384 divisors, whose sum is σ = 79949721600. Its totient is φ = 8476655616.

The previous prime is 27109475669. The next prime is 27109475693. The reversal of 27109475680 is 8657490172.

It is a super-2 number, since 2×27109475680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100778586 + ... + 100778854.

It is an arithmetic number, because the mean of its divisors is an integer number (208202400).

Almost surely, 2^27109475680 is an apocalyptic number.

27109475680 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 27109475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974860800).

27109475680 is an abundant number, since it is smaller than the sum of its proper divisors (52840245920).

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

27109475680 is a wasteful number, since it uses less digits than its factorization.

27109475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 27109475680 in words is "twenty-seven billion, one hundred nine million, four hundred seventy-five thousand, six hundred eighty".