30225029011680 has 768 divisors, whose sum is σ = 107187891535872. Its totient is φ = 7119028224000.

The previous prime is 30225029011631. The next prime is 30225029011717. The reversal of 30225029011680 is 8611092052203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4819806945 + ... + 4819813215.

It is an arithmetic number, because the mean of its divisors is an integer number (139567567104).

Almost surely, 2^{30225029011680} is an apocalyptic number.

30225029011680 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 30225029011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53593945767936).

30225029011680 is an abundant number, since it is smaller than the sum of its proper divisors (76962862524192).

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

30225029011680 is a wasteful number, since it uses less digits than its factorization.

30225029011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 30225029011680 in words is "thirty trillion, two hundred twenty-five billion, twenty-nine million, eleven thousand, six hundred eighty".