42687517800 has 96 divisors (see below), whose sum is σ = 132550444800. Its totient is φ = 11364487680.

The previous prime is 42687517799. The next prime is 42687517801. The reversal of 42687517800 is 871578624.

It is an interprime number because it is at equal distance from previous prime (42687517799) and next prime (42687517801).

It is a super-3 number, since 3×42687517800³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42687517800.

It is not an unprimeable number, because it can be changed into a prime (42687517801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305596 + ... + 422804.

It is an arithmetic number, because the mean of its divisors is an integer number (1380733800).

Almost surely, 2^42687517800 is an apocalyptic number.

42687517800 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 42687517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66275222400).

42687517800 is an abundant number, since it is smaller than the sum of its proper divisors (89862927000).

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

42687517800 is a wasteful number, since it uses less digits than its factorization.

42687517800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117835 (or 117826 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 42687517800 in words is "forty-two billion, six hundred eighty-seven million, five hundred seventeen thousand, eight hundred".