65263580928 has 1152 divisors, whose sum is σ = 257864499200. Its totient is φ = 15801827328.

The previous prime is 65263580881. The next prime is 65263580933. The reversal of 65263580928 is 82908536256.

65263580928 is a `hidden beast` number, since 6 + 52 + 6 + 3 + 580 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×65263580928³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513886401 + ... + 513886527.

Almost surely, 2^65263580928 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 65263580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128932249600).

65263580928 is an abundant number, since it is smaller than the sum of its proper divisors (192600918272).

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

65263580928 is a wasteful number, since it uses less digits than its factorization.

65263580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 65263580928 in words is "sixty-five billion, two hundred sixty-three million, five hundred eighty thousand, nine hundred twenty-eight".