66958857899136 has 3072 divisors, whose sum is σ = 262937395200000. Its totient is φ = 16923757068288.

The previous prime is 66958857899113. The next prime is 66958857899203. The reversal of 66958857899136 is 63199875885966.

66958857899136 is a `hidden beast` number, since 6 + 6 + 9 + 588 + 5 + 7 + 8 + 9 + 9 + 13 + 6 = 666.

Its product of digits (42326323200) is a multiple of the sum of its prime divisors (175).

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 383 ways as a sum of consecutive naturals, for example, 527235101505 + ... + 527235101631.

It is an arithmetic number, because the mean of its divisors is an integer number (85591600000).

Almost surely, 2^{66958857899136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66958857899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131468697600000).

66958857899136 is an abundant number, since it is smaller than the sum of its proper divisors (195978537300864).

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

66958857899136 is an equidigital number, since it uses as much as digits as its factorization.

66958857899136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 175 counting only the distinct ones).

The product of its digits is 42326323200, while the sum is 90.

The spelling of 66958857899136 in words is "sixty-six trillion, nine hundred fifty-eight billion, eight hundred fifty-seven million, eight hundred ninety-nine thousand, one hundred thirty-six".