30864980160 has 504 divisors, whose sum is σ = 128080776096. Its totient is φ = 6681968640.

The previous prime is 30864980101. The next prime is 30864980171. The reversal of 30864980160 is 6108946803.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7275640 + ... + 7279880.

It is an arithmetic number, because the mean of its divisors is an integer number (254128524).

Almost surely, 2^30864980160 is an apocalyptic number.

30864980160 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 30864980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64040388048).

30864980160 is an abundant number, since it is smaller than the sum of its proper divisors (97215795936).

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

30864980160 is a wasteful number, since it uses less digits than its factorization.

30864980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30864980160 in words is "thirty billion, eight hundred sixty-four million, nine hundred eighty thousand, one hundred sixty".