26348601240 has 512 divisors, whose sum is σ = 101232633600. Its totient is φ = 6038323200.

The previous prime is 26348601233. The next prime is 26348601259. The reversal of 26348601240 is 4210684362.

26348601240 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 8 + 601 + 2 + 40 = 666.

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 = 26348601195 and 26348601204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24106134 + ... + 24107226.

Almost surely, 2^26348601240 is an apocalyptic number.

26348601240 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 26348601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50616316800).

26348601240 is an abundant number, since it is smaller than the sum of its proper divisors (74884032360).

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

26348601240 is a wasteful number, since it uses less digits than its factorization.

26348601240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26348601240 in words is "twenty-six billion, three hundred forty-eight million, six hundred one thousand, two hundred forty".