42160898520 has 512 divisors, whose sum is σ = 154930406400. Its totient is φ = 10262453760.

The previous prime is 42160898513. The next prime is 42160898543. The reversal of 42160898520 is 2589806124.

42160898520 is a `hidden beast` number, since 42 + 1 + 6 + 0 + 89 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148978299 + ... + 148978581.

It is an arithmetic number, because the mean of its divisors is an integer number (302598450).

Almost surely, 2^42160898520 is an apocalyptic number.

42160898520 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 42160898520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77465203200).

42160898520 is an abundant number, since it is smaller than the sum of its proper divisors (112769507880).

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

42160898520 is a wasteful number, since it uses less digits than its factorization.

42160898520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 42160898520 in words is "forty-two billion, one hundred sixty million, eight hundred ninety-eight thousand, five hundred twenty".