9125171596800 has 480 divisors, whose sum is σ = 38278656556800. Its totient is φ = 2085752954880.

The previous prime is 9125171596789. The next prime is 9125171596813. The reversal of 9125171596800 is 86951715219.

It is a happy number.

9125171596800 is a `hidden beast` number, since 9 + 12 + 517 + 1 + 59 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 533211 + ... + 4305189.

It is an arithmetic number, because the mean of its divisors is an integer number (79747201160).

Almost surely, 2^{9125171596800} is an apocalyptic number.

9125171596800 is a gapful number since it is divisible by the number (90) 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 9125171596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139328278400).

9125171596800 is an abundant number, since it is smaller than the sum of its proper divisors (29153484960000).

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

9125171596800 is a wasteful number, since it uses less digits than its factorization.

9125171596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772023 (or 3771996 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 9125171596800 in words is "nine trillion, one hundred twenty-five billion, one hundred seventy-one million, five hundred ninety-six thousand, eight hundred".