5306509756800 has 1536 divisors, whose sum is σ = 23806369152000. Its totient is φ = 1127268679680.

The previous prime is 5306509756771. The next prime is 5306509756811. The reversal of 5306509756800 is 86579056035.

5306509756800 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 509 + 7 + 56 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 609029244 + ... + 609037956.

It is an arithmetic number, because the mean of its divisors is an integer number (15498938250).

Almost surely, 2^{5306509756800} is an apocalyptic number.

5306509756800 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 5306509756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903184576000).

5306509756800 is an abundant number, since it is smaller than the sum of its proper divisors (18499859395200).

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

5306509756800 is a wasteful number, since it uses less digits than its factorization.

5306509756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 5306509756800 in words is "five trillion, three hundred six billion, five hundred nine million, seven hundred fifty-six thousand, eight hundred".