30085153173504 has 832 divisors, whose sum is σ = 107268811776000. Its totient is φ = 8209996185600.

The previous prime is 30085153173461. The next prime is 30085153173529. The reversal of 30085153173504 is 40537135158003.

30085153173504 is a `hidden beast` number, since 3 + 0 + 0 + 85 + 1 + 53 + 17 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 30085153173504.

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, 648377697 + ... + 648424095.

Almost surely, 2^{30085153173504} 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 30085153173504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53634405888000).

30085153173504 is an abundant number, since it is smaller than the sum of its proper divisors (77183658602496).

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

30085153173504 is a wasteful number, since it uses less digits than its factorization.

30085153173504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46497 (or 46469 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 30085153173504 in words is "thirty trillion, eighty-five billion, one hundred fifty-three million, one hundred seventy-three thousand, five hundred four".