30248134560 has 768 divisors, whose sum is σ = 125332945920. Its totient is φ = 6754295808.

The previous prime is 30248134549. The next prime is 30248134571. The reversal of 30248134560 is 6543184203.

30248134560 is a `hidden beast` number, since 302 + 4 + 8 + 1 + 345 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30248134549) and next prime (30248134571).

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129820204 + ... + 129820436.

It is an arithmetic number, because the mean of its divisors is an integer number (163193940).

Almost surely, 2^30248134560 is an apocalyptic number.

30248134560 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 30248134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62666472960).

30248134560 is an abundant number, since it is smaller than the sum of its proper divisors (95084811360).

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

30248134560 is an equidigital number, since it uses as much as digits as its factorization.

30248134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30248134560 in words is "thirty billion, two hundred forty-eight million, one hundred thirty-four thousand, five hundred sixty".