66351259890432 has 1944 divisors, whose sum is σ = 232259985646416. Its totient is φ = 18744514560000.

The previous prime is 66351259890427. The next prime is 66351259890563. The reversal of 66351259890432 is 23409895215366.

It is a happy number.

66351259890432 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 1 + 2 + 598 + 9 + 0 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a self number, because there is not a number n which added to its sum of digits gives 66351259890432.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 656943167182 + ... + 656943167282.

Almost surely, 2^{66351259890432} is an apocalyptic number.

66351259890432 is a gapful number since it is divisible by the number (62) 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 66351259890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116129992823208).

66351259890432 is an abundant number, since it is smaller than the sum of its proper divisors (165908725755984).

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

66351259890432 is an equidigital number, since it uses as much as digits as its factorization.

66351259890432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 66351259890432 in words is "sixty-six trillion, three hundred fifty-one billion, two hundred fifty-nine million, eight hundred ninety thousand, four hundred thirty-two".