30135452688 has 180 divisors, whose sum is σ = 93747866940. Its totient is φ = 9028884480.

The previous prime is 30135452663. The next prime is 30135452693. The reversal of 30135452688 is 88625453103.

30135452688 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 545 + 26 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4031234064 + 26104218624 = 63492^2 + 161568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1541020 + ... + 1560452.

It is an arithmetic number, because the mean of its divisors is an integer number (520821483).

Almost surely, 2^30135452688 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 30135452688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46873933470).

30135452688 is an abundant number, since it is smaller than the sum of its proper divisors (63612414252).

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

30135452688 is a wasteful number, since it uses less digits than its factorization.

30135452688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19558 (or 19538 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 30135452688 in words is "thirty billion, one hundred thirty-five million, four hundred fifty-two thousand, six hundred eighty-eight".