42500057600 has 960 divisors, whose sum is σ = 147302572032. Its totient is φ = 11722752000.

The previous prime is 42500057597. The next prime is 42500057653. The reversal of 42500057600 is 675000524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397196747 + ... + 397196853.

Almost surely, 2^42500057600 is an apocalyptic number.

42500057600 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 42500057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73651286016).

42500057600 is an abundant number, since it is smaller than the sum of its proper divisors (104802514432).

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

42500057600 is a wasteful number, since it uses less digits than its factorization.

42500057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The spelling of 42500057600 in words is "forty-two billion, five hundred million, fifty-seven thousand, six hundred".