42859756800 has 1296 divisors, whose sum is σ = 188944351232. Its totient is φ = 9405849600.

The previous prime is 42859756783. The next prime is 42859756813. The reversal of 42859756800 is 865795824.

42859756800 is a `hidden beast` number, since 4 + 28 + 59 + 7 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 337478337 + ... + 337478463.

Almost surely, 2^42859756800 is an apocalyptic number.

42859756800 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 42859756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94472175616).

42859756800 is an abundant number, since it is smaller than the sum of its proper divisors (146084594432).

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

42859756800 is a wasteful number, since it uses less digits than its factorization.

42859756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 42859756800 in words is "forty-two billion, eight hundred fifty-nine million, seven hundred fifty-six thousand, eight hundred".