65985715488000 has 1152 divisors, whose sum is σ = 274152349126656. Its totient is φ = 13666185216000.

The previous prime is 65985715487963. The next prime is 65985715488047. The reversal of 65985715488000 is 88451758956.

It is a super-2 number, since 2×65985715488000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 2269329462 + ... + 2269358538.

It is an arithmetic number, because the mean of its divisors is an integer number (237979469728).

Almost surely, 2^{65985715488000} is an apocalyptic number.

65985715488000 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 65985715488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137076174563328).

65985715488000 is an abundant number, since it is smaller than the sum of its proper divisors (208166633638656).

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

65985715488000 is a wasteful number, since it uses less digits than its factorization.

65985715488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29436 (or 29412 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 66.

The spelling of 65985715488000 in words is "sixty-five trillion, nine hundred eighty-five billion, seven hundred fifteen million, four hundred eighty-eight thousand".