30987812880 has 240 divisors, whose sum is σ = 109796544000. Its totient is φ = 7810504704.

The previous prime is 30987812837. The next prime is 30987812881. The reversal of 30987812880 is 8821878903.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (30987812881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6550356 + ... + 6555084.

It is an arithmetic number, because the mean of its divisors is an integer number (457485600).

Almost surely, 2^30987812880 is an apocalyptic number.

30987812880 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 30987812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54898272000).

30987812880 is an abundant number, since it is smaller than the sum of its proper divisors (78808731120).

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

30987812880 is a wasteful number, since it uses less digits than its factorization.

30987812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 30987812880 in words is "thirty billion, nine hundred eighty-seven million, eight hundred twelve thousand, eight hundred eighty".