27677107120 has 80 divisors (see below), whose sum is σ = 69662541312. Its totient is φ = 10165662720.

The previous prime is 27677107111. The next prime is 27677107127. The reversal of 27677107120 is 2170177672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27677107127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128974 + ... + 268306.

Almost surely, 2^27677107120 is an apocalyptic number.

27677107120 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 27677107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831270656).

27677107120 is an abundant number, since it is smaller than the sum of its proper divisors (41985434192).

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

27677107120 is a wasteful number, since it uses less digits than its factorization.

27677107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139550 (or 139544 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 27677107120 in words is "twenty-seven billion, six hundred seventy-seven million, one hundred seven thousand, one hundred twenty".