30513898800 has 1080 divisors, whose sum is σ = 137999476992. Its totient is φ = 6298560000.

The previous prime is 30513898781. The next prime is 30513898801. The reversal of 30513898800 is 889831503.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30513898801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 202078725 + ... + 202078875.

Almost surely, 2^30513898800 is an apocalyptic number.

30513898800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30513898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68999738496).

30513898800 is an abundant number, since it is smaller than the sum of its proper divisors (107485578192).

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

30513898800 is a wasteful number, since it uses less digits than its factorization.

30513898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 30513898800 in words is "thirty billion, five hundred thirteen million, eight hundred ninety-eight thousand, eight hundred".