157687852068 has 72 divisors (see below), whose sum is σ = 424879673400. Its totient is φ = 49138652160.

The previous prime is 157687852039. The next prime is 157687852109. The reversal of 157687852068 is 860258786751.

157687852068 is a `hidden beast` number, since 1 + 576 + 8 + 7 + 8 + 52 + 0 + 6 + 8 = 666.

157687852068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67082036004 + 90605816064 = 259002^2 + 301008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157687851996 and 157687852014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773443 + ... + 955818.

It is an arithmetic number, because the mean of its divisors is an integer number (5901106575).

Almost surely, 2^157687852068 is an apocalyptic number.

157687852068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157687852068 is an abundant number, since it is smaller than the sum of its proper divisors (267191821332).

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

157687852068 is a wasteful number, since it uses less digits than its factorization.

157687852068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729437 (or 1729432 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 157687852068 in words is "one hundred fifty-seven billion, six hundred eighty-seven million, eight hundred fifty-two thousand, sixty-eight".