26400871000 has 256 divisors, whose sum is σ = 73753804800. Its totient is φ = 8654976000.

The previous prime is 26400870997. The next prime is 26400871001. The reversal of 26400871000 is 17800462.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 26400871000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26400871001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19312317 + ... + 19313683.

It is an arithmetic number, because the mean of its divisors is an integer number (288100800).

Almost surely, 2^26400871000 is an apocalyptic number.

26400871000 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 26400871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36876902400).

26400871000 is an abundant number, since it is smaller than the sum of its proper divisors (47352933800).

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

26400871000 is a wasteful number, since it uses less digits than its factorization.

26400871000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 26400871000 in words is "twenty-six billion, four hundred million, eight hundred seventy-one thousand".