26278253568000 has 1344 divisors, whose sum is σ = 110799404381952. Its totient is φ = 5866153574400.

The previous prime is 26278253567963. The next prime is 26278253568001. The reversal of 26278253568000 is 86535287262.

It is a happy number.

26278253568000 is a `hidden beast` number, since 2 + 6 + 2 + 78 + 2 + 5 + 3 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×26278253568000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26278253568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2774011264 + ... + 2774020736.

Almost surely, 2^{26278253568000} is an apocalyptic number.

26278253568000 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 26278253568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55399702190976).

26278253568000 is an abundant number, since it is smaller than the sum of its proper divisors (84521150813952).

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

26278253568000 is an equidigital number, since it uses as much as digits as its factorization.

26278253568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 26278253568000 in words is "twenty-six trillion, two hundred seventy-eight billion, two hundred fifty-three million, five hundred sixty-eight thousand".