30522145920 has 512 divisors, whose sum is σ = 114589900800. Its totient is φ = 6766018560.

The previous prime is 30522145919. The next prime is 30522145937. The reversal of 30522145920 is 2954122503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133284366 + ... + 133284594.

It is an arithmetic number, because the mean of its divisors is an integer number (223808400).

Almost surely, 2^30522145920 is an apocalyptic number.

30522145920 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 30522145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57294950400).

30522145920 is an abundant number, since it is smaller than the sum of its proper divisors (84067754880).

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

30522145920 is a wasteful number, since it uses less digits than its factorization.

30522145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 30522145920 in words is "thirty billion, five hundred twenty-two million, one hundred forty-five thousand, nine hundred twenty".