26135850240 has 216 divisors, whose sum is σ = 92353218048. Its totient is φ = 6821130240.

The previous prime is 26135850211. The next prime is 26135850241. The reversal of 26135850240 is 4205853162.

26135850240 is a `hidden beast` number, since 2 + 61 + 3 + 58 + 502 + 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 = 26135850195 and 26135850204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26135850241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517305 + ... + 565575.

Almost surely, 2^26135850240 is an apocalyptic number.

26135850240 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 26135850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46176609024).

26135850240 is an abundant number, since it is smaller than the sum of its proper divisors (66217367808).

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

26135850240 is a wasteful number, since it uses less digits than its factorization.

26135850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48345 (or 48328 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 26135850240 in words is "twenty-six billion, one hundred thirty-five million, eight hundred fifty thousand, two hundred forty".