5306410828800 has 660 divisors, whose sum is σ = 19731749056976. Its totient is φ = 1414908518400.

The previous prime is 5306410828787. The next prime is 5306410828811. The reversal of 5306410828800 is 88280146035.

5306410828800 is a `hidden beast` number, since 530 + 6 + 4 + 10 + 8 + 28 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 503879535 + ... + 503890065.

Almost surely, 2^{5306410828800} is an apocalyptic number.

5306410828800 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 5306410828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865874528488).

5306410828800 is an abundant number, since it is smaller than the sum of its proper divisors (14425338228176).

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

5306410828800 is an frugal number, since it uses more digits than its factorization.

5306410828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5306410828800 in words is "five trillion, three hundred six billion, four hundred ten million, eight hundred twenty-eight thousand, eight hundred".