65582230348800 has 2112 divisors, whose sum is σ = 269388428037120. Its totient is φ = 15694929100800.

The previous prime is 65582230348759. The next prime is 65582230348823. The reversal of 65582230348800 is 884303228556.

It is a happy number.

65582230348800 is a `hidden beast` number, since 6 + 5 + 582 + 23 + 0 + 34 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×65582230348800² (a number of 28 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 51116312959 + ... + 51116314241.

Almost surely, 2^{65582230348800} is an apocalyptic number.

65582230348800 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 65582230348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134694214018560).

65582230348800 is an abundant number, since it is smaller than the sum of its proper divisors (203806197688320).

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

65582230348800 is a wasteful number, since it uses less digits than its factorization.

65582230348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 65582230348800 in words is "sixty-five trillion, five hundred eighty-two billion, two hundred thirty million, three hundred forty-eight thousand, eight hundred".