26053695360 has 1280 divisors, whose sum is σ = 119004526080. Its totient is φ = 5275238400.

The previous prime is 26053695307. The next prime is 26053695361. The reversal of 26053695360 is 6359635062.

26053695360 is a `hidden beast` number, since 2 + 6 + 0 + 53 + 69 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26053695361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243492427 + ... + 243492533.

It is an arithmetic number, because the mean of its divisors is an integer number (92972286).

Almost surely, 2^26053695360 is an apocalyptic number.

26053695360 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 26053695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59502263040).

26053695360 is an abundant number, since it is smaller than the sum of its proper divisors (92950830720).

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

26053695360 is a wasteful number, since it uses less digits than its factorization.

26053695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 26053695360 in words is "twenty-six billion, fifty-three million, six hundred ninety-five thousand, three hundred sixty".