26857172160 has 448 divisors, whose sum is σ = 116614041600. Its totient is φ = 5666402304.

The previous prime is 26857172159. The next prime is 26857172189. The reversal of 26857172160 is 6127175862.

26857172160 is a `hidden beast` number, since 2 + 6 + 8 + 571 + 72 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 769161 + ... + 803319.

It is an arithmetic number, because the mean of its divisors is an integer number (260299200).

Almost surely, 2^26857172160 is an apocalyptic number.

26857172160 is a gapful number since it is divisible by the number (20) 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 26857172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58307020800).

26857172160 is an abundant number, since it is smaller than the sum of its proper divisors (89756869440).

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

26857172160 is a wasteful number, since it uses less digits than its factorization.

26857172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34205 (or 34189 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 26857172160 in words is "twenty-six billion, eight hundred fifty-seven million, one hundred seventy-two thousand, one hundred sixty".