30960513936 has 405 divisors, whose sum is σ = 100752666651. Its totient is φ = 8868182400.

The previous prime is 30960513929. The next prime is 30960513959. The reversal of 30960513936 is 63931506903.

The square root of 30960513936 is 175956.

It is a perfect power (a square), and thus also a powerful number.

30960513936 is a `hidden beast` number, since 3 + 0 + 9 + 605 + 1 + 3 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30960513891 and 30960513900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 720011931 + ... + 720011973.

Almost surely, 2^30960513936 is an apocalyptic number.

30960513936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30960513936 is the 175956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30960513936

30960513936 is an abundant number, since it is smaller than the sum of its proper divisors (69792152715).

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

30960513936 is a wasteful number, since it uses less digits than its factorization.

30960513936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 30960513936 in words is "thirty billion, nine hundred sixty million, five hundred thirteen thousand, nine hundred thirty-six".