13086222240 has 576 divisors, whose sum is σ = 52201304064. Its totient is φ = 2731180032.

The previous prime is 13086222239. The next prime is 13086222251. The reversal of 13086222240 is 4222268031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13086222198 and 13086222207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38831352 + ... + 38831688.

It is an arithmetic number, because the mean of its divisors is an integer number (90627264).

Almost surely, 2^13086222240 is an apocalyptic number.

13086222240 is a gapful number since it is divisible by the number (10) 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 13086222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26100652032).

13086222240 is an abundant number, since it is smaller than the sum of its proper divisors (39115081824).

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

13086222240 is a wasteful number, since it uses less digits than its factorization.

13086222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 13086222240 in words is "thirteen billion, eighty-six million, two hundred twenty-two thousand, two hundred forty".