26257653760 has 304 divisors, whose sum is σ = 71873456256. Its totient is φ = 9135194112.

The previous prime is 26257653743. The next prime is 26257653767. The reversal of 26257653760 is 6735675262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26257653767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391905247 + ... + 391905313.

Almost surely, 2^26257653760 is an apocalyptic number.

26257653760 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 26257653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35936728128).

26257653760 is an abundant number, since it is smaller than the sum of its proper divisors (45615802496).

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

26257653760 is an frugal number, since it uses more digits than its factorization.

26257653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 26257653760 in words is "twenty-six billion, two hundred fifty-seven million, six hundred fifty-three thousand, seven hundred sixty".