5230790308800 has 1344 divisors, whose sum is σ = 23114334873600. Its totient is φ = 1124786995200.

The previous prime is 5230790308769. The next prime is 5230790308841. The reversal of 5230790308800 is 88030970325.

5230790308800 is a `hidden beast` number, since 523 + 0 + 7 + 90 + 30 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5230790308800² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 424261036 + ... + 424273364.

Almost surely, 2^{5230790308800} is an apocalyptic number.

5230790308800 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 5230790308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557167436800).

5230790308800 is an abundant number, since it is smaller than the sum of its proper divisors (17883544564800).

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

5230790308800 is a wasteful number, since it uses less digits than its factorization.

5230790308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5230790308800 in words is "five trillion, two hundred thirty billion, seven hundred ninety million, three hundred eight thousand, eight hundred".