42869698560 has 312 divisors, whose sum is σ = 160036282224. Its totient is φ = 10551951360.

The previous prime is 42869698513. The next prime is 42869698637. The reversal of 42869698560 is 6589696824.

42869698560 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 9 + 69 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×42869698560² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2387215 + ... + 2405105.

It is an arithmetic number, because the mean of its divisors is an integer number (512936802).

Almost surely, 2^42869698560 is an apocalyptic number.

42869698560 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 42869698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80018141112).

42869698560 is an abundant number, since it is smaller than the sum of its proper divisors (117166583664).

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

42869698560 is a wasteful number, since it uses less digits than its factorization.

42869698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17939 (or 17914 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 42869698560 in words is "forty-two billion, eight hundred sixty-nine million, six hundred ninety-eight thousand, five hundred sixty".