42127562500 has 63 divisors (see below), whose sum is σ = 92265244771. Its totient is φ = 16830500000.

The previous prime is 42127562467. The next prime is 42127562507. The reversal of 42127562500 is 526572124.

The square root of 42127562500 is 205250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 26239464196 + 15888098304 = 161986^2 + 126048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42127562507) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 51312090 + ... + 51312910.

Almost surely, 2^42127562500 is an apocalyptic number.

42127562500 is the 205250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42127562500

42127562500 is an abundant number, since it is smaller than the sum of its proper divisors (50137682271).

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

42127562500 is an frugal number, since it uses more digits than its factorization.

42127562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 42127562500 in words is "forty-two billion, one hundred twenty-seven million, five hundred sixty-two thousand, five hundred".