13540089776 has 80 divisors (see below), whose sum is σ = 28207167840. Its totient is φ = 6276741120.

The previous prime is 13540089767. The next prime is 13540089803. The reversal of 13540089776 is 67798004531.

It is a super-2 number, since 2×13540089776² (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 15 ways as a sum of consecutive naturals, for example, 8393546 + ... + 8395158.

It is an arithmetic number, because the mean of its divisors is an integer number (352589598).

Almost surely, 2^13540089776 is an apocalyptic number.

13540089776 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 13540089776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103583920).

13540089776 is an abundant number, since it is smaller than the sum of its proper divisors (14667078064).

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

13540089776 is a wasteful number, since it uses less digits than its factorization.

13540089776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 13540089776 in words is "thirteen billion, five hundred forty million, eighty-nine thousand, seven hundred seventy-six".