30054237696 has 720 divisors, whose sum is σ = 109445450400. Its totient is φ = 7766212608.

The previous prime is 30054237691. The next prime is 30054237713. The reversal of 30054237696 is 69673245003.

30054237696 is a `hidden beast` number, since 30 + 0 + 542 + 3 + 76 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30054237691) 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 71 ways as a sum of consecutive naturals, for example, 337688020 + ... + 337688108.

It is an arithmetic number, because the mean of its divisors is an integer number (152007570).

Almost surely, 2^30054237696 is an apocalyptic number.

30054237696 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 30054237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54722725200).

30054237696 is an abundant number, since it is smaller than the sum of its proper divisors (79391212704).

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

30054237696 is a wasteful number, since it uses less digits than its factorization.

30054237696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 30054237696 in words is "thirty billion, fifty-four million, two hundred thirty-seven thousand, six hundred ninety-six".