26871760260 has 384 divisors, whose sum is σ = 91974113280. Its totient is φ = 6486220800.

The previous prime is 26871760231. The next prime is 26871760291. The reversal of 26871760260 is 6206717862.

26871760260 is a `hidden beast` number, since 26 + 8 + 7 + 17 + 602 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 26318550 + ... + 26319570.

It is an arithmetic number, because the mean of its divisors is an integer number (239515920).

Almost surely, 2^26871760260 is an apocalyptic number.

26871760260 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 26871760260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45987056640).

26871760260 is an abundant number, since it is smaller than the sum of its proper divisors (65102353020).

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

26871760260 is a wasteful number, since it uses less digits than its factorization.

26871760260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 26871760260 in words is "twenty-six billion, eight hundred seventy-one million, seven hundred sixty thousand, two hundred sixty".