30561130400 has 144 divisors (see below), whose sum is σ = 78658340544. Its totient is φ = 11571732480.

The previous prime is 30561130381. The next prime is 30561130421. The reversal of 30561130400 is 403116503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1776239 + ... + 1793361.

It is an arithmetic number, because the mean of its divisors is an integer number (546238476).

Almost surely, 2^30561130400 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 30561130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39329170272).

30561130400 is an abundant number, since it is smaller than the sum of its proper divisors (48097210144).

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

30561130400 is a wasteful number, since it uses less digits than its factorization.

30561130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263 (or 17250 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 30561130400 its reverse (403116503), we get a palindrome (30964246903).

The spelling of 30561130400 in words is "thirty billion, five hundred sixty-one million, one hundred thirty thousand, four hundred".