30825779712 has 160 divisors (see below), whose sum is σ = 101073447552. Its totient is φ = 8129839104.

The previous prime is 30825779707. The next prime is 30825779713. The reversal of 30825779712 is 21797752803.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30825779713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29508 + ... + 250044.

Almost surely, 2^30825779712 is an apocalyptic number.

30825779712 is a gapful number since it is divisible by the number (32) 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 30825779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50536723776).

30825779712 is an abundant number, since it is smaller than the sum of its proper divisors (70247667840).

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

30825779712 is a wasteful number, since it uses less digits than its factorization.

30825779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220578 (or 220562 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 30825779712 in words is "thirty billion, eight hundred twenty-five million, seven hundred seventy-nine thousand, seven hundred twelve".