30466658779872 has 1152 divisors, whose sum is σ = 103489636884480. Its totient is φ = 7788879544320.

The previous prime is 30466658779849. The next prime is 30466658779901. The reversal of 30466658779872 is 27897785666403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37019026053 + ... + 37019026875.

It is an arithmetic number, because the mean of its divisors is an integer number (89834754240).

Almost surely, 2^{30466658779872} is an apocalyptic number.

30466658779872 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 30466658779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744818442240).

30466658779872 is an abundant number, since it is smaller than the sum of its proper divisors (73022978104608).

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

30466658779872 is a wasteful number, since it uses less digits than its factorization.

30466658779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 78.

The spelling of 30466658779872 in words is "thirty trillion, four hundred sixty-six billion, six hundred fifty-eight million, seven hundred seventy-nine thousand, eight hundred seventy-two".