65313346560 has 1056 divisors, whose sum is σ = 277430925312. Its totient is φ = 12981534720.

The previous prime is 65313346547. The next prime is 65313346577. The reversal of 65313346560 is 6564331356.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2839710709 + ... + 2839710731.

Almost surely, 2^65313346560 is an apocalyptic number.

65313346560 is a gapful number since it is divisible by the number (60) 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 65313346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138715462656).

65313346560 is an abundant number, since it is smaller than the sum of its proper divisors (212117578752).

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

65313346560 is an equidigital number, since it uses as much as digits as its factorization.

65313346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 65313346560 in words is "sixty-five billion, three hundred thirteen million, three hundred forty-six thousand, five hundred sixty".