65313312480 has 144 divisors (see below), whose sum is σ = 240026492160. Its totient is φ = 16077118464.

The previous prime is 65313312431. The next prime is 65313312511. The reversal of 65313312480 is 8421331356.

65313312480 is a `hidden beast` number, since 6 + 531 + 33 + 12 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×65313312480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725760 + ... + 1763199.

It is an arithmetic number, because the mean of its divisors is an integer number (1666850640).

Almost surely, 2^65313312480 is an apocalyptic number.

65313312480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65313312480 is an abundant number, since it is smaller than the sum of its proper divisors (174713179680).

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

65313312480 is a wasteful number, since it uses less digits than its factorization.

65313312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488993 (or 3488982 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 65313312480 in words is "sixty-five billion, three hundred thirteen million, three hundred twelve thousand, four hundred eighty".