30930988800 has 432 divisors, whose sum is σ = 107850597120. Its totient is φ = 7791083520.

The previous prime is 30930988799. The next prime is 30930988807. The reversal of 30930988800 is 888903903.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30930988800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30930988807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39302007 + ... + 39302793.

It is an arithmetic number, because the mean of its divisors is an integer number (249654160).

Almost surely, 2^30930988800 is an apocalyptic number.

30930988800 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 30930988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53925298560).

30930988800 is an abundant number, since it is smaller than the sum of its proper divisors (76919608320).

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

30930988800 is a wasteful number, since it uses less digits than its factorization.

30930988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 30930988800 in words is "thirty billion, nine hundred thirty million, nine hundred eighty-eight thousand, eight hundred".