26285730240 has 336 divisors, whose sum is σ = 104842031616. Its totient is φ = 5461800960.

The previous prime is 26285730203. The next prime is 26285730299. The reversal of 26285730240 is 4203758262.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26285730240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796957 + ... + 829283.

It is an arithmetic number, because the mean of its divisors is an integer number (312029856).

Almost surely, 2^26285730240 is an apocalyptic number.

26285730240 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 26285730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52421015808).

26285730240 is an abundant number, since it is smaller than the sum of its proper divisors (78556301376).

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

26285730240 is a wasteful number, since it uses less digits than its factorization.

26285730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32376 (or 32355 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 26285730240 in words is "twenty-six billion, two hundred eighty-five million, seven hundred thirty thousand, two hundred forty".