30899269234080 has 1152 divisors, whose sum is σ = 120501858387456. Its totient is φ = 7430621184000.

The previous prime is 30899269234073. The next prime is 30899269234103. The reversal of 30899269234080 is 8043296299803.

30899269234080 is a `hidden beast` number, since 3 + 0 + 89 + 92 + 69 + 2 + 3 + 408 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30899269233999 and 30899269234017.

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, 4655604522 + ... + 4655611158.

It is an arithmetic number, because the mean of its divisors is an integer number (104602307628).

Almost surely, 2^{30899269234080} is an apocalyptic number.

30899269234080 is a gapful number since it is divisible by the number (30) 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 30899269234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60250929193728).

30899269234080 is an abundant number, since it is smaller than the sum of its proper divisors (89602589153376).

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

30899269234080 is a wasteful number, since it uses less digits than its factorization.

30899269234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 30899269234080 in words is "thirty trillion, eight hundred ninety-nine billion, two hundred sixty-nine million, two hundred thirty-four thousand, eighty".