42109567500 has 960 divisors, whose sum is σ = 169289809920. Its totient is φ = 7862400000.

The previous prime is 42109567499. The next prime is 42109567523. The reversal of 42109567500 is 576590124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 533032461 + ... + 533032539.

It is an arithmetic number, because the mean of its divisors is an integer number (176343552).

Almost surely, 2^42109567500 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 42109567500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84644904960).

42109567500 is an abundant number, since it is smaller than the sum of its proper divisors (127180242420).

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

42109567500 is a wasteful number, since it uses less digits than its factorization.

42109567500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 42109567500 in words is "forty-two billion, one hundred nine million, five hundred sixty-seven thousand, five hundred".