5090808268800 has 720 divisors, whose sum is σ = 18898446867300. Its totient is φ = 1354442342400.

The previous prime is 5090808268771. The next prime is 5090808268801. The reversal of 5090808268800 is 88628080905.

It can be written as a sum of positive squares in 6 ways, for example, as 453780071424 + 4637028197376 = 673632^2 + 2153376^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (5090808268801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2243634066 + ... + 2243636334.

Almost surely, 2^{5090808268800} is an apocalyptic number.

5090808268800 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 5090808268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449223433650).

5090808268800 is an abundant number, since it is smaller than the sum of its proper divisors (13807638598500).

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

5090808268800 is a wasteful number, since it uses less digits than its factorization.

5090808268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 5090808268800 in words is "five trillion, ninety billion, eight hundred eight million, two hundred sixty-eight thousand, eight hundred".