30126064752 has 240 divisors, whose sum is σ = 106509388320. Its totient is φ = 8101029888.

The previous prime is 30126064721. The next prime is 30126064757. The reversal of 30126064752 is 25746062103.

30126064752 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 6 + 0 + 647 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30126064757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317998 + ... + 401714.

It is an arithmetic number, because the mean of its divisors is an integer number (443789118).

Almost surely, 2^30126064752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30126064752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254694160).

30126064752 is an abundant number, since it is smaller than the sum of its proper divisors (76383323568).

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

30126064752 is a wasteful number, since it uses less digits than its factorization.

30126064752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83765 (or 83746 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30126064752 in words is "thirty billion, one hundred twenty-six million, sixty-four thousand, seven hundred fifty-two".