66565125060 has 192 divisors, whose sum is σ = 224852544000. Its totient is φ = 14690102784.

The previous prime is 66565125059. The next prime is 66565125071. The reversal of 66565125060 is 6052156566.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541054 + ... + 652586.

It is an arithmetic number, because the mean of its divisors is an integer number (1171107000).

Almost surely, 2^66565125060 is an apocalyptic number.

66565125060 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 66565125060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112426272000).

66565125060 is an abundant number, since it is smaller than the sum of its proper divisors (158287418940).

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

66565125060 is a wasteful number, since it uses less digits than its factorization.

66565125060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111595 (or 111579 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 66565125060 in words is "sixty-six billion, five hundred sixty-five million, one hundred twenty-five thousand, sixty".