30382261056 has 336 divisors, whose sum is σ = 108425162880. Its totient is φ = 8302694400.

The previous prime is 30382261031. The next prime is 30382261103. The reversal of 30382261056 is 65016228303.

It is a happy number.

30382261056 is a `hidden beast` number, since 3 + 0 + 38 + 2 + 2 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30382261056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939656 + ... + 1955256.

Almost surely, 2^30382261056 is an apocalyptic number.

30382261056 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 30382261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54212581440).

30382261056 is an abundant number, since it is smaller than the sum of its proper divisors (78042901824).

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

30382261056 is a wasteful number, since it uses less digits than its factorization.

30382261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15659 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 30382261056 its reverse (65016228303), we get a palindrome (95398489359).

The spelling of 30382261056 in words is "thirty billion, three hundred eighty-two million, two hundred sixty-one thousand, fifty-six".