26803645560 has 288 divisors, whose sum is σ = 90852128640. Its totient is φ = 6852916224.

The previous prime is 26803645541. The next prime is 26803645577. The reversal of 26803645560 is 6554630862.

26803645560 is a `hidden beast` number, since 2 + 6 + 80 + 3 + 6 + 4 + 5 + 560 = 666.

It is a super-2 number, since 2×26803645560² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67515282 + ... + 67515678.

It is an arithmetic number, because the mean of its divisors is an integer number (315458780).

Almost surely, 2^26803645560 is an apocalyptic number.

26803645560 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 26803645560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45426064320).

26803645560 is an abundant number, since it is smaller than the sum of its proper divisors (64048483080).

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

26803645560 is a wasteful number, since it uses less digits than its factorization.

26803645560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 26803645560 in words is "twenty-six billion, eight hundred three million, six hundred forty-five thousand, five hundred sixty".