26271763440 has 320 divisors, whose sum is σ = 91194163200. Its totient is φ = 6212874240.

The previous prime is 26271763439. The next prime is 26271763447. The reversal of 26271763440 is 4436717262.

It is a junction number, because it is equal to n+sod(n) for n = 26271763392 and 26271763401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26271763447) 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, 14410369 + ... + 14412191.

It is an arithmetic number, because the mean of its divisors is an integer number (284981760).

Almost surely, 2^26271763440 is an apocalyptic number.

26271763440 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 26271763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597081600).

26271763440 is an abundant number, since it is smaller than the sum of its proper divisors (64922399760).

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

26271763440 is a wasteful number, since it uses less digits than its factorization.

26271763440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 26271763440 in words is "twenty-six billion, two hundred seventy-one million, seven hundred sixty-three thousand, four hundred forty".