65252635560 has 1024 divisors, whose sum is σ = 272793600000. Its totient is φ = 13826598912.

The previous prime is 65252635529. The next prime is 65252635571. The reversal of 65252635560 is 6553625256.

65252635560 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 2 + 635 + 5 + 6 + 0 = 666.

65252635560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 513800217 + ... + 513800343.

It is an arithmetic number, because the mean of its divisors is an integer number (266400000).

Almost surely, 2^65252635560 is an apocalyptic number.

65252635560 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 65252635560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136396800000).

65252635560 is an abundant number, since it is smaller than the sum of its proper divisors (207540964440).

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

65252635560 is a wasteful number, since it uses less digits than its factorization.

65252635560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 65252635560 in words is "sixty-five billion, two hundred fifty-two million, six hundred thirty-five thousand, five hundred sixty".