5290509123900 has 2592 divisors, whose sum is σ = 23826256272000. Its totient is φ = 953745408000.

The previous prime is 5290509123899. The next prime is 5290509123931. The reversal of 5290509123900 is 93219050925.

5290509123900 is a `hidden beast` number, since 52 + 9 + 0 + 509 + 1 + 2 + 3 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 11782870876 + ... + 11782871324.

It is an arithmetic number, because the mean of its divisors is an integer number (9192228500).

Almost surely, 2^{5290509123900} is an apocalyptic number.

5290509123900 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 5290509123900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913128136000).

5290509123900 is an abundant number, since it is smaller than the sum of its proper divisors (18535747148100).

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

5290509123900 is a wasteful number, since it uses less digits than its factorization.

5290509123900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 5290509123900 in words is "five trillion, two hundred ninety billion, five hundred nine million, one hundred twenty-three thousand, nine hundred".