30144061600 has 144 divisors (see below), whose sum is σ = 77095065600. Its totient is φ = 11493780480.

The previous prime is 30144061543. The next prime is 30144061601. The reversal of 30144061600 is 616044103.

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

It is not an unprimeable number, because it can be changed into a prime (30144061601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824577 + ... + 1841023.

It is an arithmetic number, because the mean of its divisors is an integer number (535382400).

Almost surely, 2^30144061600 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 30144061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38547532800).

30144061600 is an abundant number, since it is smaller than the sum of its proper divisors (46951004000).

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

30144061600 is a wasteful number, since it uses less digits than its factorization.

30144061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16575 (or 16562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 30144061600 in words is "thirty billion, one hundred forty-four million, sixty-one thousand, six hundred".