13273860096 has 720 divisors, whose sum is σ = 48804275520. Its totient is φ = 3576545280.

The previous prime is 13273860079. The next prime is 13273860101. The reversal of 13273860096 is 69006837231.

13273860096 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 38 + 600 + 9 + 6 = 666.

It is a super-2 number, since 2×13273860096² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 186955741 + ... + 186955811.

It is an arithmetic number, because the mean of its divisors is an integer number (67783716).

Almost surely, 2^13273860096 is an apocalyptic number.

13273860096 is a gapful number since it is divisible by the number (16) 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 13273860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24402137760).

13273860096 is an abundant number, since it is smaller than the sum of its proper divisors (35530415424).

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

13273860096 is an equidigital number, since it uses as much as digits as its factorization.

13273860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13273860096 in words is "thirteen billion, two hundred seventy-three million, eight hundred sixty thousand, ninety-six".