30052792509168 has 640 divisors, whose sum is σ = 96015934586880. Its totient is φ = 7976328192000.

The previous prime is 30052792509161. The next prime is 30052792509239. The reversal of 30052792509168 is 86190529725003.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30052792509161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2892189253 + ... + 2892199643.

It is an arithmetic number, because the mean of its divisors is an integer number (150024897792).

Almost surely, 2^{30052792509168} 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 30052792509168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48007967293440).

30052792509168 is an abundant number, since it is smaller than the sum of its proper divisors (65963142077712).

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

30052792509168 is a wasteful number, since it uses less digits than its factorization.

30052792509168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 30052792509168 in words is "thirty trillion, fifty-two billion, seven hundred ninety-two million, five hundred nine thousand, one hundred sixty-eight".