30173068800 has 1440 divisors, whose sum is σ = 136780959744. Its totient is φ = 6193152000.

The previous prime is 30173068781. The next prime is 30173068819. The reversal of 30173068800 is 886037103.

It is an interprime number because it is at equal distance from previous prime (30173068781) and next prime (30173068819).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 424972765 + ... + 424972835.

Almost surely, 2^30173068800 is an apocalyptic number.

30173068800 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 30173068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68390479872).

30173068800 is an abundant number, since it is smaller than the sum of its proper divisors (106607890944).

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

30173068800 is a wasteful number, since it uses less digits than its factorization.

30173068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 30173068800 in words is "thirty billion, one hundred seventy-three million, sixty-eight thousand, eight hundred".