368959010160 has 160 divisors (see below), whose sum is σ = 1235770905600. Its totient is φ = 90524611584.

The previous prime is 368959010153. The next prime is 368959010177. The reversal of 368959010160 is 61010959863.

It is a super-2 number, since 2×368959010160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765241 + ... + 1150439.

It is an arithmetic number, because the mean of its divisors is an integer number (7723568160).

Almost surely, 2^368959010160 is an apocalyptic number.

368959010160 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 368959010160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617885452800).

368959010160 is an abundant number, since it is smaller than the sum of its proper divisors (866811895440).

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

368959010160 is a wasteful number, since it uses less digits than its factorization.

368959010160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385535 (or 385529 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 368959010160 in words is "three hundred sixty-eight billion, nine hundred fifty-nine million, ten thousand, one hundred sixty".