66130041715920 has 1920 divisors, whose sum is σ = 291944414361600. Its totient is φ = 13310292086784.

The previous prime is 66130041715877. The next prime is 66130041715949. The reversal of 66130041715920 is 2951714003166.

66130041715920 is a `hidden beast` number, since 6 + 6 + 13 + 0 + 0 + 41 + 7 + 1 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 177292336854 + ... + 177292337226.

It is an arithmetic number, because the mean of its divisors is an integer number (152054382480).

Almost surely, 2^{66130041715920} is an apocalyptic number.

66130041715920 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 66130041715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145972207180800).

66130041715920 is an abundant number, since it is smaller than the sum of its proper divisors (225814372645680).

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

66130041715920 is an equidigital number, since it uses as much as digits as its factorization.

66130041715920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 66130041715920 in words is "sixty-six trillion, one hundred thirty billion, forty-one million, seven hundred fifteen thousand, nine hundred twenty".