42582859200 has 504 divisors, whose sum is σ = 173579747328. Its totient is φ = 9699010560.

The previous prime is 42582859181. The next prime is 42582859213. The reversal of 42582859200 is 295828524.

42582859200 is a `hidden beast` number, since 4 + 2 + 58 + 2 + 8 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 38605849 + ... + 38606951.

Almost surely, 2^42582859200 is an apocalyptic number.

42582859200 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 42582859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86789873664).

42582859200 is an abundant number, since it is smaller than the sum of its proper divisors (130996888128).

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

42582859200 is a wasteful number, since it uses less digits than its factorization.

42582859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 42582859200 in words is "forty-two billion, five hundred eighty-two million, eight hundred fifty-nine thousand, two hundred".