157677218568 has 240 divisors, whose sum is σ = 471618312000. Its totient is φ = 49207150080.

The previous prime is 157677218533. The next prime is 157677218591. The reversal of 157677218568 is 865812776751.

157677218568 is a `hidden beast` number, since 1 + 5 + 7 + 67 + 7 + 2 + 1 + 8 + 568 = 666.

157677218568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37265013 + ... + 37269243.

It is an arithmetic number, because the mean of its divisors is an integer number (1965076300).

Almost surely, 2^157677218568 is an apocalyptic number.

157677218568 is a gapful number since it is divisible by the number (18) 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 157677218568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235809156000).

157677218568 is an abundant number, since it is smaller than the sum of its proper divisors (313941093432).

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

157677218568 is a wasteful number, since it uses less digits than its factorization.

157677218568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4452 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 63.

The spelling of 157677218568 in words is "one hundred fifty-seven billion, six hundred seventy-seven million, two hundred eighteen thousand, five hundred sixty-eight".