26260194240 has 336 divisors, whose sum is σ = 106560030720. Its totient is φ = 5808568320.

The previous prime is 26260194137. The next prime is 26260194251. The reversal of 26260194240 is 4249106262.

26260194240 is a `hidden beast` number, since 2 + 6 + 2 + 601 + 9 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26260194195 and 26260194204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603951 + ... + 645969.

Almost surely, 2^26260194240 is an apocalyptic number.

26260194240 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 26260194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280015360).

26260194240 is an abundant number, since it is smaller than the sum of its proper divisors (80299836480).

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

26260194240 is a wasteful number, since it uses less digits than its factorization.

26260194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42080 (or 42067 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26260194240 in words is "twenty-six billion, two hundred sixty million, one hundred ninety-four thousand, two hundred forty".