42559985664 has 216 divisors, whose sum is σ = 142992829980. Its totient is φ = 12159737856.

The previous prime is 42559985659. The next prime is 42559985681. The reversal of 42559985664 is 46658995524.

It is a happy number.

It is a super-2 number, since 2×42559985664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 879607 + ... + 926729.

Almost surely, 2^42559985664 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 42559985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71496414990).

42559985664 is an abundant number, since it is smaller than the sum of its proper divisors (100432844316).

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

42559985664 is a wasteful number, since it uses less digits than its factorization.

42559985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47165 (or 47135 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 42559985664 in words is "forty-two billion, five hundred fifty-nine million, nine hundred eighty-five thousand, six hundred sixty-four".