26086958400 has 168 divisors, whose sum is σ = 85686883744. Its totient is φ = 6948403200.

The previous prime is 26086958399. The next prime is 26086958413. The reversal of 26086958400 is 485968062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26086958400.

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, 4898139 + ... + 4903461.

Almost surely, 2^26086958400 is an apocalyptic number.

26086958400 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 26086958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42843441872).

26086958400 is an abundant number, since it is smaller than the sum of its proper divisors (59599925344).

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

26086958400 is a wasteful number, since it uses less digits than its factorization.

26086958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 26086958400 in words is "twenty-six billion, eighty-six million, nine hundred fifty-eight thousand, four hundred".