13084575340 has 192 divisors, whose sum is σ = 31457341440. Its totient is φ = 4546713600.

The previous prime is 13084575299. The next prime is 13084575347. The reversal of 13084575340 is 4357548031.

It is a super-2 number, since 2×13084575340² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13084575293 and 13084575302.

It is not an unprimeable number, because it can be changed into a prime (13084575347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21771040 + ... + 21771640.

It is an arithmetic number, because the mean of its divisors is an integer number (163840320).

Almost surely, 2^13084575340 is an apocalyptic number.

13084575340 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 13084575340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728670720).

13084575340 is an abundant number, since it is smaller than the sum of its proper divisors (18372766100).

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

13084575340 is a wasteful number, since it uses less digits than its factorization.

13084575340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 13084575340 in words is "thirteen billion, eighty-four million, five hundred seventy-five thousand, three hundred forty".