68157180000 has 1920 divisors, whose sum is σ = 326235571200. Its totient is φ = 13436928000.

The previous prime is 68157179999. The next prime is 68157180017. The reversal of 68157180000 is 8175186.

68157180000 is a `hidden beast` number, since 6 + 8 + 1 + 571 + 80 + 0 + 0 + 0 = 666.

68157180000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 933659964 + ... + 933660036.

It is an arithmetic number, because the mean of its divisors is an integer number (169914360).

Almost surely, 2^68157180000 is an apocalyptic number.

68157180000 is a gapful number since it is divisible by the number (60) 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 68157180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163117785600).

68157180000 is an abundant number, since it is smaller than the sum of its proper divisors (258078391200).

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

68157180000 is a wasteful number, since it uses less digits than its factorization.

68157180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 68157180000 in words is "sixty-eight billion, one hundred fifty-seven million, one hundred eighty thousand".