5308735870656 has 336 divisors, whose sum is σ = 16201847533248. Its totient is φ = 1658349158400.

The previous prime is 5308735870643. The next prime is 5308735870663. The reversal of 5308735870656 is 6560785378035.

It is a happy number.

5308735870656 is a `hidden beast` number, since 530 + 8 + 7 + 35 + 8 + 7 + 0 + 65 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5308735870593 and 5308735870602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207676116 + ... + 207701676.

Almost surely, 2^{5308735870656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5308735870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100923766624).

5308735870656 is an abundant number, since it is smaller than the sum of its proper divisors (10893111662592).

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

5308735870656 is a wasteful number, since it uses less digits than its factorization.

5308735870656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25920 (or 25907 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 5308735870656 in words is "five trillion, three hundred eight billion, seven hundred thirty-five million, eight hundred seventy thousand, six hundred fifty-six".