5709109016340 has 144 divisors (see below), whose sum is σ = 17534012303808. Its totient is φ = 1503422710272.

The previous prime is 5709109016269. The next prime is 5709109016353. The reversal of 5709109016340 is 436109019075.

5709109016340 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 1 + 0 + 9 + 0 + 1 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34233999 + ... + 34400361.

It is an arithmetic number, because the mean of its divisors is an integer number (121763974332).

Almost surely, 2^{5709109016340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709109016340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767006151904).

5709109016340 is an abundant number, since it is smaller than the sum of its proper divisors (11824903287468).

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

5709109016340 is a wasteful number, since it uses less digits than its factorization.

5709109016340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168758 (or 168753 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 5709109016340 in words is "five trillion, seven hundred nine billion, one hundred nine million, sixteen thousand, three hundred forty".