26256795364800 has 6048 divisors, whose sum is σ = 138272136683520. Its totient is φ = 4715200512000.

The previous prime is 26256795364799. The next prime is 26256795364819. The reversal of 26256795364800 is 846359765262.

26256795364800 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 67 + 95 + 3 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 137470132705 + ... + 137470132895.

Almost surely, 2^{26256795364800} is an apocalyptic number.

26256795364800 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 26256795364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69136068341760).

26256795364800 is an abundant number, since it is smaller than the sum of its proper divisors (112015341318720).

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

26256795364800 is a wasteful number, since it uses less digits than its factorization.

26256795364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 26256795364800 in words is "twenty-six trillion, two hundred fifty-six billion, seven hundred ninety-five million, three hundred sixty-four thousand, eight hundred".