5456659661310 has 192 divisors, whose sum is σ = 15799183488000. Its totient is φ = 1195089891840.

The previous prime is 5456659661303. The next prime is 5456659661347. The reversal of 5456659661310 is 131669566545.

It is a super-2 number, since 2×5456659661310² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1580316 + ... + 3662064.

It is an arithmetic number, because the mean of its divisors is an integer number (82287414000).

Almost surely, 2^{5456659661310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456659661310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899591744000).

5456659661310 is an abundant number, since it is smaller than the sum of its proper divisors (10342523826690).

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

5456659661310 is a wasteful number, since it uses less digits than its factorization.

5456659661310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081843 (or 2081830 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 57.

The spelling of 5456659661310 in words is "five trillion, four hundred fifty-six billion, six hundred fifty-nine million, six hundred sixty-one thousand, three hundred ten".