30825772830720 has 1248 divisors, whose sum is σ = 127758173916672. Its totient is φ = 6721841922048.

The previous prime is 30825772830701. The next prime is 30825772830737. The reversal of 30825772830720 is 2703827752803.

30825772830720 is a `hidden beast` number, since 30 + 8 + 2 + 577 + 2 + 8 + 30 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×30825772830720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13561711504 + ... + 13561713776.

It is an arithmetic number, because the mean of its divisors is an integer number (102370331664).

Almost surely, 2^{30825772830720} is an apocalyptic number.

30825772830720 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 30825772830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63879086958336).

30825772830720 is an abundant number, since it is smaller than the sum of its proper divisors (96932401085952).

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

30825772830720 is a wasteful number, since it uses less digits than its factorization.

30825772830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 30825772830720 in words is "thirty trillion, eight hundred twenty-five billion, seven hundred seventy-two million, eight hundred thirty thousand, seven hundred twenty".