42861568512 has 480 divisors, whose sum is σ = 142241520960. Its totient is φ = 11395399680.

The previous prime is 42861568493. The next prime is 42861568543. The reversal of 42861568512 is 21586516824.

42861568512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42861568512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177848712 + ... + 177848952.

It is an arithmetic number, because the mean of its divisors is an integer number (296336502).

Almost surely, 2^42861568512 is an apocalyptic number.

42861568512 is a gapful number since it is divisible by the number (42) 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 42861568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71120760480).

42861568512 is an abundant number, since it is smaller than the sum of its proper divisors (99379952448).

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

42861568512 is a wasteful number, since it uses less digits than its factorization.

42861568512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The spelling of 42861568512 in words is "forty-two billion, eight hundred sixty-one million, five hundred sixty-eight thousand, five hundred twelve".