42251325100 has 72 divisors (see below), whose sum is σ = 93463462400. Its totient is φ = 16575624000.

The previous prime is 42251325041. The next prime is 42251325167. The reversal of 42251325100 is 152315224.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175191 + ... + 1210609.

Almost surely, 2^42251325100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42251325100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46731731200).

42251325100 is an abundant number, since it is smaller than the sum of its proper divisors (51212137300).

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

42251325100 is a wasteful number, since it uses less digits than its factorization.

42251325100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35663 (or 35656 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 42251325100 in words is "forty-two billion, two hundred fifty-one million, three hundred twenty-five thousand, one hundred".