42250521600 has 1584 divisors, whose sum is σ = 193867734528. Its totient is φ = 8564244480.

The previous prime is 42250521589. The next prime is 42250521613. The reversal of 42250521600 is 612505224.

42250521600 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 0 + 52 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630604767 + ... + 630604833.

Almost surely, 2^42250521600 is an apocalyptic number.

42250521600 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 42250521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96933867264).

42250521600 is an abundant number, since it is smaller than the sum of its proper divisors (151617212928).

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

42250521600 is a wasteful number, since it uses less digits than its factorization.

42250521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 42250521600 in words is "forty-two billion, two hundred fifty million, five hundred twenty-one thousand, six hundred".