26268482849400 has 960 divisors, whose sum is σ = 101401773264000. Its totient is φ = 6248986444800.

The previous prime is 26268482849393. The next prime is 26268482849431. The reversal of 26268482849400 is 494828486262.

26268482849400 is a `hidden beast` number, since 2 + 6 + 2 + 68 + 4 + 82 + 8 + 494 + 0 + 0 = 666.

It is a super-3 number, since 3×26268482849400³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3211694511 + ... + 3211702689.

It is an arithmetic number, because the mean of its divisors is an integer number (105626847150).

Almost surely, 2^{26268482849400} is an apocalyptic number.

26268482849400 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 26268482849400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50700886632000).

26268482849400 is an abundant number, since it is smaller than the sum of its proper divisors (75133290414600).

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

26268482849400 is a wasteful number, since it uses less digits than its factorization.

26268482849400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 26268482849400 in words is "twenty-six trillion, two hundred sixty-eight billion, four hundred eighty-two million, eight hundred forty-nine thousand, four hundred".