30660450912 has 1152 divisors, whose sum is σ = 123794697600. Its totient is φ = 7283146752.

The previous prime is 30660450889. The next prime is 30660450913. The reversal of 30660450912 is 21905406603.

It is a happy number.

30660450912 is a `hidden beast` number, since 30 + 6 + 604 + 5 + 0 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30660450913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271331368 + ... + 271331480.

It is an arithmetic number, because the mean of its divisors is an integer number (107460675).

Almost surely, 2^30660450912 is an apocalyptic number.

30660450912 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 30660450912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61897348800).

30660450912 is an abundant number, since it is smaller than the sum of its proper divisors (93134246688).

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

30660450912 is a wasteful number, since it uses less digits than its factorization.

30660450912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30660450912 in words is "thirty billion, six hundred sixty million, four hundred fifty thousand, nine hundred twelve".