30855357294576 has 160 divisors (see below), whose sum is σ = 87331310438400. Its totient is φ = 9343902167040.

The previous prime is 30855357294533. The next prime is 30855357294577. The reversal of 30855357294576 is 67549275355803.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30855357294576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30855357294577) 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 31 ways as a sum of consecutive naturals, for example, 92572861 + ... + 92905571.

It is an arithmetic number, because the mean of its divisors is an integer number (545820690240).

Almost surely, 2^{30855357294576} 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 30855357294576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43665655219200).

30855357294576 is an abundant number, since it is smaller than the sum of its proper divisors (56475953143824).

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

30855357294576 is a wasteful number, since it uses less digits than its factorization.

30855357294576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336687 (or 336681 counting only the distinct ones).

The product of its (nonzero) digits is 952560000, while the sum is 69.

The spelling of 30855357294576 in words is "thirty trillion, eight hundred fifty-five billion, three hundred fifty-seven million, two hundred ninety-four thousand, five hundred seventy-six".