4875504592000 has 512 divisors, whose sum is σ = 14513271552000. Its totient is φ = 1593446400000.

The previous prime is 4875504591977. The next prime is 4875504592069. The reversal of 4875504592000 is 2954055784.

It is a super-2 number, since 2×4875504592000² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 256582500 + ... + 256601500.

It is an arithmetic number, because the mean of its divisors is an integer number (28346233500).

Almost surely, 2^{4875504592000} is an apocalyptic number.

4875504592000 is a gapful number since it is divisible by the number (40) 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 4875504592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256635776000).

4875504592000 is an abundant number, since it is smaller than the sum of its proper divisors (9637766960000).

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

4875504592000 is a wasteful number, since it uses less digits than its factorization.

4875504592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19145 (or 19123 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 4875504592000 in words is "four trillion, eight hundred seventy-five billion, five hundred four million, five hundred ninety-two thousand".