30865638120 has 128 divisors (see below), whose sum is σ = 94602124800. Its totient is φ = 8054452224.

The previous prime is 30865638113. The next prime is 30865638127. The reversal of 30865638120 is 2183656803.

It is an interprime number because it is at equal distance from previous prime (30865638113) and next prime (30865638127).

It is not an unprimeable number, because it can be changed into a prime (30865638127) 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, 1056834 + ... + 1085646.

It is an arithmetic number, because the mean of its divisors is an integer number (739079100).

Almost surely, 2^30865638120 is an apocalyptic number.

30865638120 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 30865638120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47301062400).

30865638120 is an abundant number, since it is smaller than the sum of its proper divisors (63736486680).

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

30865638120 is a wasteful number, since it uses less digits than its factorization.

30865638120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29019 (or 29015 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 30865638120 in words is "thirty billion, eight hundred sixty-five million, six hundred thirty-eight thousand, one hundred twenty".