66414359531520 has 4992 divisors, whose sum is σ = 329134269058560. Its totient is φ = 12485394432000.

The previous prime is 66414359531501. The next prime is 66414359531557. The reversal of 66414359531520 is 2513595341466.

66414359531520 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 4 + 3 + 59 + 531 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 236350033780 + ... + 236350034060.

Almost surely, 2^{66414359531520} is an apocalyptic number.

66414359531520 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 66414359531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164567134529280).

66414359531520 is an abundant number, since it is smaller than the sum of its proper divisors (262719909527040).

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

66414359531520 is a wasteful number, since it uses less digits than its factorization.

66414359531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 66414359531520 in words is "sixty-six trillion, four hundred fourteen billion, three hundred fifty-nine million, five hundred thirty-one thousand, five hundred twenty".