30248064000 has 1584 divisors, whose sum is σ = 141344007168. Its totient is φ = 6082560000.

The previous prime is 30248063987. The next prime is 30248064023. The reversal of 30248064000 is 46084203.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 975743985 + ... + 975744015.

Almost surely, 2^30248064000 is an apocalyptic number.

30248064000 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 30248064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70672003584).

30248064000 is an abundant number, since it is smaller than the sum of its proper divisors (111095943168).

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

30248064000 is a wasteful number, since it uses less digits than its factorization.

30248064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 30248064000 in words is "thirty billion, two hundred forty-eight million, sixty-four thousand".