30948798145680 has 480 divisors, whose sum is σ = 109887036779520. Its totient is φ = 7793745039360.

The previous prime is 30948798145631. The next prime is 30948798145697. The reversal of 30948798145680 is 8654189784903.

30948798145680 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 8 + 7 + 98 + 1 + 456 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30948798145599 and 30948798145608.

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 95 ways as a sum of consecutive naturals, for example, 1064359302 + ... + 1064388378.

It is an arithmetic number, because the mean of its divisors is an integer number (228931326624).

Almost surely, 2^{30948798145680} is an apocalyptic number.

30948798145680 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 30948798145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54943518389760).

30948798145680 is an abundant number, since it is smaller than the sum of its proper divisors (78938238633840).

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

30948798145680 is a wasteful number, since it uses less digits than its factorization.

30948798145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30279 (or 30270 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 30948798145680 in words is "thirty trillion, nine hundred forty-eight billion, seven hundred ninety-eight million, one hundred forty-five thousand, six hundred eighty".