30552697152 has 336 divisors, whose sum is σ = 93701567232. Its totient is φ = 9866188800.

The previous prime is 30552697141. The next prime is 30552697183. The reversal of 30552697152 is 25179625503.

30552697152 is a `hidden beast` number, since 3 + 0 + 5 + 526 + 9 + 71 + 52 = 666.

It is a super-2 number, since 2×30552697152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30552697098 and 30552697107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83249673 + ... + 83250039.

It is an arithmetic number, because the mean of its divisors is an integer number (278873712).

Almost surely, 2^30552697152 is an apocalyptic number.

30552697152 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 30552697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46850783616).

30552697152 is an abundant number, since it is smaller than the sum of its proper divisors (63148870080).

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

30552697152 is a wasteful number, since it uses less digits than its factorization.

30552697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 30552697152 in words is "thirty billion, five hundred fifty-two million, six hundred ninety-seven thousand, one hundred fifty-two".