42594851520 has 336 divisors, whose sum is σ = 158599022400. Its totient is φ = 10430373888.

The previous prime is 42594851473. The next prime is 42594851543. The reversal of 42594851520 is 2515849524.

42594851520 is a `hidden beast` number, since 4 + 2 + 594 + 8 + 5 + 1 + 52 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7447702 + ... + 7453418.

It is an arithmetic number, because the mean of its divisors is an integer number (472020900).

Almost surely, 2^42594851520 is an apocalyptic number.

42594851520 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 42594851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79299511200).

42594851520 is an abundant number, since it is smaller than the sum of its proper divisors (116004170880).

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

42594851520 is a wasteful number, since it uses less digits than its factorization.

42594851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 42594851520 in words is "forty-two billion, five hundred ninety-four million, eight hundred fifty-one thousand, five hundred twenty".