42557659200 has 1008 divisors, whose sum is σ = 188935685120. Its totient is φ = 9204295680.

The previous prime is 42557659169. The next prime is 42557659211. The reversal of 42557659200 is 295675524.

42557659200 is a `hidden beast` number, since 4 + 2 + 5 + 57 + 6 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42557659200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51709989 + ... + 51710811.

Almost surely, 2^42557659200 is an apocalyptic number.

42557659200 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 42557659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94467842560).

42557659200 is an abundant number, since it is smaller than the sum of its proper divisors (146378025920).

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

42557659200 is a wasteful number, since it uses less digits than its factorization.

42557659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 42557659200 in words is "forty-two billion, five hundred fifty-seven million, six hundred fifty-nine thousand, two hundred".