42813168295680 has 1296 divisors, whose sum is σ = 158967589251744. Its totient is φ = 11038705090560.

The previous prime is 42813168295637. The next prime is 42813168295697. The reversal of 42813168295680 is 8659286131824.

42813168295680 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 3 + 1 + 68 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65563810234 + ... + 65563810886.

Almost surely, 2^{42813168295680} is an apocalyptic number.

42813168295680 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 42813168295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79483794625872).

42813168295680 is an abundant number, since it is smaller than the sum of its proper divisors (116154420956064).

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

42813168295680 is an frugal number, since it uses more digits than its factorization.

42813168295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 42813168295680 in words is "forty-two trillion, eight hundred thirteen billion, one hundred sixty-eight million, two hundred ninety-five thousand, six hundred eighty".