26553862560960 has 1344 divisors, whose sum is σ = 110875919910912. Its totient is φ = 5701859868672.

The previous prime is 26553862560839. The next prime is 26553862560997. The reversal of 26553862560960 is 6906526835562.

26553862560960 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 3 + 8 + 6 + 2 + 560 + 9 + 60 = 666.

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

It is a super-2 number, since 2×26553862560960² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12333423244 + ... + 12333425396.

Almost surely, 2^{26553862560960} is an apocalyptic number.

26553862560960 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 26553862560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55437959955456).

26553862560960 is an abundant number, since it is smaller than the sum of its proper divisors (84322057349952).

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

26553862560960 is a wasteful number, since it uses less digits than its factorization.

26553862560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 26553862560960 in words is "twenty-six trillion, five hundred fifty-three billion, eight hundred sixty-two million, five hundred sixty thousand, nine hundred sixty".