30680311200 has 864 divisors, whose sum is σ = 130357781568. Its totient is φ = 6193152000.

The previous prime is 30680311183. The next prime is 30680311201. The reversal of 30680311200 is 211308603.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30680311201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47862880 + ... + 47863520.

It is an arithmetic number, because the mean of its divisors is an integer number (150877062).

Almost surely, 2^30680311200 is an apocalyptic number.

30680311200 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 30680311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65178890784).

30680311200 is an abundant number, since it is smaller than the sum of its proper divisors (99677470368).

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

30680311200 is a wasteful number, since it uses less digits than its factorization.

30680311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 30680311200 its reverse (211308603), we get a palindrome (30891619803).

It can be divided in two parts, 306803 and 11200, that added together give a triangular number (318003 = T₇₉₇).

The spelling of 30680311200 in words is "thirty billion, six hundred eighty million, three hundred eleven thousand, two hundred".