30070128895200 has 864 divisors, whose sum is σ = 111366378658080. Its totient is φ = 7916573491200.

The previous prime is 30070128895181. The next prime is 30070128895243. The reversal of 30070128895200 is 259882107003.

It is a happy number.

30070128895200 is a `hidden beast` number, since 30 + 0 + 7 + 0 + 12 + 8 + 89 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22094142520 + ... + 22094143880.

It is an arithmetic number, because the mean of its divisors is an integer number (128896271595).

Almost surely, 2^{30070128895200} is an apocalyptic number.

30070128895200 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 30070128895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55683189329040).

30070128895200 is an abundant number, since it is smaller than the sum of its proper divisors (81296249762880).

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

30070128895200 is a wasteful number, since it uses less digits than its factorization.

30070128895200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 30070128895200 in words is "thirty trillion, seventy billion, one hundred twenty-eight million, eight hundred ninety-five thousand, two hundred".