5097892800 has 672 divisors, whose sum is σ = 22477561344. Its totient is φ = 976896000.

The previous prime is 5097892771. The next prime is 5097892823. The reversal of 5097892800 is 82987905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×5097892800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5097892800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804270 + ... + 4805330.

It is an arithmetic number, because the mean of its divisors is an integer number (33448752).

Almost surely, 2^5097892800 is an apocalyptic number.

5097892800 is a gapful number since it is divisible by the number (50) 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 5097892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238780672).

5097892800 is an abundant number, since it is smaller than the sum of its proper divisors (17379668544).

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

5097892800 is a wasteful number, since it uses less digits than its factorization.

5097892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 5097892800 is about 71399.5294102139. The cubic root of 5097892800 is about 1721.0635210969.

The spelling of 5097892800 in words is "five billion, ninety-seven million, eight hundred ninety-two thousand, eight hundred".