30917172000 has 768 divisors, whose sum is σ = 122049607680. Its totient is φ = 6741504000.

The previous prime is 30917171983. The next prime is 30917172007. The reversal of 30917172000 is 27171903.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30917172007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73787791 + ... + 73788209.

It is an arithmetic number, because the mean of its divisors is an integer number (158918760).

Almost surely, 2^30917172000 is an apocalyptic number.

30917172000 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 30917172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61024803840).

30917172000 is an abundant number, since it is smaller than the sum of its proper divisors (91132435680).

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

30917172000 is a wasteful number, since it uses less digits than its factorization.

30917172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The spelling of 30917172000 in words is "thirty billion, nine hundred seventeen million, one hundred seventy-two thousand".