30252380454912 has 1824 divisors, whose sum is σ = 111542772280320. Its totient is φ = 7189120942080.

The previous prime is 30252380454851. The next prime is 30252380454931. The reversal of 30252380454912 is 21945408325203.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282732527563 + ... + 282732527669.

It is an arithmetic number, because the mean of its divisors is an integer number (61152835680).

Almost surely, 2^{30252380454912} is an apocalyptic number.

30252380454912 is a gapful number since it is divisible by the number (32) 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 30252380454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55771386140160).

30252380454912 is an abundant number, since it is smaller than the sum of its proper divisors (81290391825408).

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

30252380454912 is a wasteful number, since it uses less digits than its factorization.

30252380454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 30252380454912 in words is "thirty trillion, two hundred fifty-two billion, three hundred eighty million, four hundred fifty-four thousand, nine hundred twelve".