42985894560 has 384 divisors, whose sum is σ = 160944537600. Its totient is φ = 9436815360.

The previous prime is 42985894559. The next prime is 42985894571. The reversal of 42985894560 is 6549858924.

It is a super-2 number, since 2×42985894560² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 42985894494 and 42985894503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14476756 + ... + 14479724.

It is an arithmetic number, because the mean of its divisors is an integer number (419126400).

Almost surely, 2^42985894560 is an apocalyptic number.

42985894560 is a gapful number since it is divisible by the number (40) 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 42985894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80472268800).

42985894560 is an abundant number, since it is smaller than the sum of its proper divisors (117958643040).

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

42985894560 is a wasteful number, since it uses less digits than its factorization.

42985894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 42985894560 in words is "forty-two billion, nine hundred eighty-five million, eight hundred ninety-four thousand, five hundred sixty".