30487390248960 has 672 divisors, whose sum is σ = 106633821385728. Its totient is φ = 8057184583680.

The previous prime is 30487390248863. The next prime is 30487390248967. The reversal of 30487390248960 is 6984209378403.

30487390248960 is a `hidden beast` number, since 3 + 0 + 4 + 8 + 7 + 3 + 90 + 2 + 489 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30487390248967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25555230124 + ... + 25555231316.

It is an arithmetic number, because the mean of its divisors is an integer number (158681281824).

Almost surely, 2^{30487390248960} is an apocalyptic number.

30487390248960 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 30487390248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53316910692864).

30487390248960 is an abundant number, since it is smaller than the sum of its proper divisors (76146431136768).

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

30487390248960 is a wasteful number, since it uses less digits than its factorization.

30487390248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 30487390248960 in words is "thirty trillion, four hundred eighty-seven billion, three hundred ninety million, two hundred forty-eight thousand, nine hundred sixty".