30126544900 has 81 divisors (see below), whose sum is σ = 69514461597. Its totient is φ = 11330649600.

The previous prime is 30126544867. The next prime is 30126544907. The reversal of 30126544900 is 944562103.

It is a happy number.

The square root of 30126544900 is 173570.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8213071876 + 21913473024 = 90626^2 + 148032^2 .

It is a super-2 number, since 2×30126544900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30126544907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29506390 + ... + 29507410.

Almost surely, 2^30126544900 is an apocalyptic number.

30126544900 is the 173570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30126544900

30126544900 is an abundant number, since it is smaller than the sum of its proper divisors (39387916697).

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

30126544900 is a wasteful number, since it uses less digits than its factorization.

30126544900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 30126544900 in words is "thirty billion, one hundred twenty-six million, five hundred forty-four thousand, nine hundred".