386968268160 has 512 divisors, whose sum is σ = 1418696294400. Its totient is φ = 99582566400.

The previous prime is 386968268119. The next prime is 386968268207. The reversal of 386968268160 is 61862869683.

386968268160 is a `hidden beast` number, since 386 + 96 + 8 + 2 + 6 + 8 + 160 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246947697 + ... + 246949263.

It is an arithmetic number, because the mean of its divisors is an integer number (2770891200).

Almost surely, 2^386968268160 is an apocalyptic number.

386968268160 is a gapful number since it is divisible by the number (30) 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 386968268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709348147200).

386968268160 is an abundant number, since it is smaller than the sum of its proper divisors (1031728026240).

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

386968268160 is a wasteful number, since it uses less digits than its factorization.

386968268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 386968268160 in words is "three hundred eighty-six billion, nine hundred sixty-eight million, two hundred sixty-eight thousand, one hundred sixty".