42578089257600 has 1536 divisors, whose sum is σ = 175699692000000. Its totient is φ = 9996800163840.

The previous prime is 42578089257577. The next prime is 42578089257617. The reversal of 42578089257600 is 675298087524.

42578089257600 is a `hidden beast` number, since 4 + 2 + 57 + 8 + 0 + 8 + 9 + 2 + 576 + 0 + 0 = 666.

42578089257600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2703534526 + ... + 2703550274.

Almost surely, 2^{42578089257600} is an apocalyptic number.

42578089257600 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 42578089257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87849846000000).

42578089257600 is an abundant number, since it is smaller than the sum of its proper divisors (133121602742400).

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

42578089257600 is a wasteful number, since it uses less digits than its factorization.

42578089257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907 (or 15884 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 42578089257600 in words is "forty-two trillion, five hundred seventy-eight billion, eighty-nine million, two hundred fifty-seven thousand, six hundred".