26249243904 has 216 divisors, whose sum is σ = 82321278312. Its totient is φ = 7995801600.

The previous prime is 26249243863. The next prime is 26249243927. The reversal of 26249243904 is 40934294262.

It can be written as a sum of positive squares in 4 ways, for example, as 3373286400 + 22875957504 = 58080^2 + 151248^2 .

It is a super-2 number, since 2×26249243904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26249243904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3020814 + ... + 3029490.

Almost surely, 2^26249243904 is an apocalyptic number.

26249243904 is a gapful number since it is divisible by the number (24) 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 26249243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160639156).

26249243904 is an abundant number, since it is smaller than the sum of its proper divisors (56072034408).

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

26249243904 is a wasteful number, since it uses less digits than its factorization.

26249243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26249243904 in words is "twenty-six billion, two hundred forty-nine million, two hundred forty-three thousand, nine hundred four".