30855831552 has 840 divisors, whose sum is σ = 117061318836. Its totient is φ = 8026324992.

The previous prime is 30855831529. The next prime is 30855831571. The reversal of 30855831552 is 25513855803.

30855831552 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 583 + 15 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30059237376 + 796594176 = 173376^2 + 28224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30855831498 and 30855831507.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 422682588 + ... + 422682660.

Almost surely, 2^30855831552 is an apocalyptic number.

30855831552 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 30855831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58530659418).

30855831552 is an abundant number, since it is smaller than the sum of its proper divisors (86205487284).

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

30855831552 is an equidigital number, since it uses as much as digits as its factorization.

30855831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 30855831552 in words is "thirty billion, eight hundred fifty-five million, eight hundred thirty-one thousand, five hundred fifty-two".