30247748482560 has 1440 divisors, whose sum is σ = 120986388955872. Its totient is φ = 6424775884800.

The previous prime is 30247748482529. The next prime is 30247748482561. The reversal of 30247748482560 is 6528484774203.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 30247748482494 and 30247748482503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30247748482561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7200128460 + ... + 7200132660.

Almost surely, 2^{30247748482560} is an apocalyptic number.

30247748482560 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 30247748482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60493194477936).

30247748482560 is an abundant number, since it is smaller than the sum of its proper divisors (90738640473312).

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

30247748482560 is a wasteful number, since it uses less digits than its factorization.

30247748482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 60.

The spelling of 30247748482560 in words is "thirty trillion, two hundred forty-seven billion, seven hundred forty-eight million, four hundred eighty-two thousand, five hundred sixty".