30056916480 has 160 divisors (see below), whose sum is σ = 96202101600. Its totient is φ = 8005681152.

The previous prime is 30056916457. The next prime is 30056916493. The reversal of 30056916480 is 8461965003.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8515356 + ... + 8518884.

It is an arithmetic number, because the mean of its divisors is an integer number (601263135).

Almost surely, 2^30056916480 is an apocalyptic number.

30056916480 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 30056916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48101050800).

30056916480 is an abundant number, since it is smaller than the sum of its proper divisors (66145185120).

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

30056916480 is a wasteful number, since it uses less digits than its factorization.

30056916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 30056916480 in words is "thirty billion, fifty-six million, nine hundred sixteen thousand, four hundred eighty".