16258172160 has 144 divisors (see below), whose sum is σ = 52805350080. Its totient is φ = 4261969920.

The previous prime is 16258172153. The next prime is 16258172167. The reversal of 16258172160 is 6127185261.

It is an interprime number because it is at equal distance from previous prime (16258172153) and next prime (16258172167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16258172167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190680 + ... + 262440.

It is an arithmetic number, because the mean of its divisors is an integer number (366703820).

Almost surely, 2^16258172160 is an apocalyptic number.

16258172160 is a gapful number since it is divisible by the number (10) 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 16258172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26402675040).

16258172160 is an abundant number, since it is smaller than the sum of its proper divisors (36547177920).

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

16258172160 is an equidigital number, since it uses as much as digits as its factorization.

16258172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71844 (or 71830 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 16258172160 in words is "sixteen billion, two hundred fifty-eight million, one hundred seventy-two thousand, one hundred sixty".