26517906240 has 448 divisors, whose sum is σ = 101608128000. Its totient is φ = 5850120192.

The previous prime is 26517906169. The next prime is 26517906251. The reversal of 26517906240 is 4260971562.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26517906192 and 26517906201.

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, 9547732 + ... + 9550508.

Almost surely, 2^26517906240 is an apocalyptic number.

26517906240 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 26517906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50804064000).

26517906240 is an abundant number, since it is smaller than the sum of its proper divisors (75090221760).

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

26517906240 is a wasteful number, since it uses less digits than its factorization.

26517906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 26517906240 in words is "twenty-six billion, five hundred seventeen million, nine hundred six thousand, two hundred forty".