30009145210896 has 160 divisors (see below), whose sum is σ = 81831762432000. Its totient is φ = 9457316137984.

The previous prime is 30009145210879. The next prime is 30009145210907. The reversal of 30009145210896 is 69801254190003.

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 31 ways as a sum of consecutive naturals, for example, 288722425 + ... + 288826343.

It is an arithmetic number, because the mean of its divisors is an integer number (511448515200).

Almost surely, 2^{30009145210896} 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 30009145210896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40915881216000).

30009145210896 is an abundant number, since it is smaller than the sum of its proper divisors (51822617221104).

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

30009145210896 is a wasteful number, since it uses less digits than its factorization.

30009145210896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106981 (or 106975 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 30009145210896 in words is "thirty trillion, nine billion, one hundred forty-five million, two hundred ten thousand, eight hundred ninety-six".