66315055104 has 260 divisors, whose sum is σ = 200164777560. Its totient is φ = 21875097600.

The previous prime is 66315055067. The next prime is 66315055133. The reversal of 66315055104 is 40155051366.

66315055104 is a `hidden beast` number, since 6 + 631 + 5 + 0 + 5 + 5 + 10 + 4 = 666.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33508387 + ... + 33510365.

Almost surely, 2^66315055104 is an apocalyptic number.

66315055104 is a gapful number since it is divisible by the number (64) 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 66315055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100082388780).

66315055104 is an abundant number, since it is smaller than the sum of its proper divisors (133849722456).

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

66315055104 is a wasteful number, since it uses less digits than its factorization.

66315055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 66315055104 in words is "sixty-six billion, three hundred fifteen million, fifty-five thousand, one hundred four".