30894829056 has 640 divisors, whose sum is σ = 115492608000. Its totient is φ = 7936081920.

The previous prime is 30894829033. The next prime is 30894829073. The reversal of 30894829056 is 65092849803.

30894829056 is a `hidden beast` number, since 30 + 89 + 482 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×30894829056² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30894828993 and 30894829011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51577045 + ... + 51577643.

It is an arithmetic number, because the mean of its divisors is an integer number (180457200).

Almost surely, 2^30894829056 is an apocalyptic number.

30894829056 is a gapful number since it is divisible by the number (36) 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 30894829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304000).

30894829056 is an abundant number, since it is smaller than the sum of its proper divisors (84597778944).

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

30894829056 is a wasteful number, since it uses less digits than its factorization.

30894829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 30894829056 in words is "thirty billion, eight hundred ninety-four million, eight hundred twenty-nine thousand, fifty-six".