13577095140 has 96 divisors (see below), whose sum is σ = 43471088640. Its totient is φ = 3101594496.

The previous prime is 13577095139. The next prime is 13577095177. The reversal of 13577095140 is 4159077531.

It is a super-2 number, since 2×13577095140² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13577095092 and 13577095101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833191 + ... + 849329.

It is an arithmetic number, because the mean of its divisors is an integer number (452823840).

Almost surely, 2^13577095140 is an apocalyptic number.

13577095140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13577095140 is an abundant number, since it is smaller than the sum of its proper divisors (29893993500).

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

13577095140 is a wasteful number, since it uses less digits than its factorization.

13577095140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18161 (or 18159 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 13577095140 in words is "thirteen billion, five hundred seventy-seven million, ninety-five thousand, one hundred forty".