26810635540 has 192 divisors, whose sum is σ = 63684859392. Its totient is φ = 9416908800.

The previous prime is 26810635487. The next prime is 26810635589. The reversal of 26810635540 is 4553601862.

It is a super-2 number, since 2×26810635540² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26810635493 and 26810635502.

It is a congruent number.

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, 101941449 + ... + 101941711.

It is an arithmetic number, because the mean of its divisors is an integer number (331691976).

Almost surely, 2^26810635540 is an apocalyptic number.

26810635540 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 26810635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842429696).

26810635540 is an abundant number, since it is smaller than the sum of its proper divisors (36874223852).

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

26810635540 is a wasteful number, since it uses less digits than its factorization.

26810635540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 26810635540 in words is "twenty-six billion, eight hundred ten million, six hundred thirty-five thousand, five hundred forty".