5308937856000 has 704 divisors, whose sum is σ = 19657975733760. Its totient is φ = 1413100339200.

The previous prime is 5308937855999. The next prime is 5308937856007. The reversal of 5308937856000 is 6587398035.

It is a happy number.

5308937856000 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 9 + 3 + 78 + 560 + 0 + 0 = 666.

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 (5308937856007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2512510944 + ... + 2512513056.

Almost surely, 2^{5308937856000} is an apocalyptic number.

5308937856000 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 5308937856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828987866880).

5308937856000 is an abundant number, since it is smaller than the sum of its proper divisors (14349037877760).

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

5308937856000 is a wasteful number, since it uses less digits than its factorization.

5308937856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5308937856000 in words is "five trillion, three hundred eight billion, nine hundred thirty-seven million, eight hundred fifty-six thousand".