66130351056 has 240 divisors, whose sum is σ = 230930219520. Its totient is φ = 17162599680.

The previous prime is 66130350989. The next prime is 66130351081. The reversal of 66130351056 is 65015303166.

66130351056 is a `hidden beast` number, since 6 + 6 + 130 + 3 + 510 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66130351056.

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 47 ways as a sum of consecutive naturals, for example, 24869055 + ... + 24871713.

It is an arithmetic number, because the mean of its divisors is an integer number (962209248).

Almost surely, 2^66130351056 is an apocalyptic number.

66130351056 is a gapful number since it is divisible by the number (66) 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 66130351056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115465109760).

66130351056 is an abundant number, since it is smaller than the sum of its proper divisors (164799868464).

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

66130351056 is a wasteful number, since it uses less digits than its factorization.

66130351056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 66130351056 in words is "sixty-six billion, one hundred thirty million, three hundred fifty-one thousand, fifty-six".