26871218640 has 400 divisors, whose sum is σ = 112937628672. Its totient is φ = 5780533248.

The previous prime is 26871218503. The next prime is 26871218659. The reversal of 26871218640 is 4681217862.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 753697 + ... + 788543.

Almost surely, 2^26871218640 is an apocalyptic number.

26871218640 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 26871218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56468814336).

26871218640 is an abundant number, since it is smaller than the sum of its proper divisors (86066410032).

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

26871218640 is a wasteful number, since it uses less digits than its factorization.

26871218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34896 (or 34881 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 26871218640 in words is "twenty-six billion, eight hundred seventy-one million, two hundred eighteen thousand, six hundred forty".