5156685324576 has 144 divisors (see below), whose sum is σ = 14731252315416. Its totient is φ = 1711054061568.

The previous prime is 5156685324517. The next prime is 5156685324577. The reversal of 5156685324576 is 6754235866515.

5156685324576 is a `hidden beast` number, since 5 + 1 + 5 + 6 + 6 + 8 + 53 + 2 + 4 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2952279968400 + 2204405356176 = 1718220^2 + 1484724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5156685324577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321621456 + ... + 321637488.

Almost surely, 2^{5156685324576} 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 5156685324576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365626157708).

5156685324576 is an abundant number, since it is smaller than the sum of its proper divisors (9574566990840).

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

5156685324576 is a wasteful number, since it uses less digits than its factorization.

5156685324576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21075 (or 21064 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 5156685324576 in words is "five trillion, one hundred fifty-six billion, six hundred eighty-five million, three hundred twenty-four thousand, five hundred seventy-six".