30045252576 has 96 divisors (see below), whose sum is σ = 81560134656. Its totient is φ = 9674496000.

The previous prime is 30045252557. The next prime is 30045252673. The reversal of 30045252576 is 67525254003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690456 + ... + 1708136.

It is an arithmetic number, because the mean of its divisors is an integer number (849584736).

Almost surely, 2^30045252576 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 30045252576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40780067328).

30045252576 is an abundant number, since it is smaller than the sum of its proper divisors (51514882080).

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

30045252576 is a wasteful number, since it uses less digits than its factorization.

30045252576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18288 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 30045252576 in words is "thirty billion, forty-five million, two hundred fifty-two thousand, five hundred seventy-six".