30842361115020 has 576 divisors, whose sum is σ = 115947127296000. Its totient is φ = 6462157750272.

The previous prime is 30842361115003. The next prime is 30842361115061. The reversal of 30842361115020 is 2051116324803.

30842361115020 is a `hidden beast` number, since 3 + 0 + 8 + 4 + 2 + 3 + 611 + 15 + 0 + 20 = 666.

30842361115020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2254716541 + ... + 2254730219.

It is an arithmetic number, because the mean of its divisors is an integer number (201297096000).

Almost surely, 2^{30842361115020} is an apocalyptic number.

30842361115020 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 30842361115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57973563648000).

30842361115020 is an abundant number, since it is smaller than the sum of its proper divisors (85104766180980).

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

30842361115020 is a wasteful number, since it uses less digits than its factorization.

30842361115020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 30842361115020 its reverse (2051116324803), we get a palindrome (32893477439823).

The spelling of 30842361115020 in words is "thirty trillion, eight hundred forty-two billion, three hundred sixty-one million, one hundred fifteen thousand, twenty".