30005915472 has 240 divisors, whose sum is σ = 92022193536. Its totient is φ = 9072000000.

The previous prime is 30005915453. The next prime is 30005915491. The reversal of 30005915472 is 27451950003.

It is an interprime number because it is at equal distance from previous prime (30005915453) and next prime (30005915491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28549347 + ... + 28550397.

Almost surely, 2^30005915472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30005915472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46011096768).

30005915472 is an abundant number, since it is smaller than the sum of its proper divisors (62016278064).

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

30005915472 is a wasteful number, since it uses less digits than its factorization.

30005915472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 30005915472 in words is "thirty billion, five million, nine hundred fifteen thousand, four hundred seventy-two".