26257830720 has 224 divisors, whose sum is σ = 91163339136. Its totient is φ = 6350438400.

The previous prime is 26257830719. The next prime is 26257830721. The reversal of 26257830720 is 2703875262.

It is an interprime number because it is at equal distance from previous prime (26257830719) and next prime (26257830721).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26257830721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4823200 + ... + 4828640.

Almost surely, 2^26257830720 is an apocalyptic number.

26257830720 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 26257830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581669568).

26257830720 is an abundant number, since it is smaller than the sum of its proper divisors (64905508416).

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

26257830720 is a wasteful number, since it uses less digits than its factorization.

26257830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 26257830720 in words is "twenty-six billion, two hundred fifty-seven million, eight hundred thirty thousand, seven hundred twenty".