26475562064952 has 1024 divisors, whose sum is σ = 102341217484800. Its totient is φ = 6118156800000.

The previous prime is 26475562064927. The next prime is 26475562064989. The reversal of 26475562064952 is 25946026557462.

26475562064952 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 5 + 562 + 0 + 64 + 9 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26475562064952.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1682368828 + ... + 1682384564.

It is an arithmetic number, because the mean of its divisors is an integer number (99942595200).

Almost surely, 2^{26475562064952} is an apocalyptic number.

26475562064952 is a gapful number since it is divisible by the number (22) 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 26475562064952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51170608742400).

26475562064952 is an abundant number, since it is smaller than the sum of its proper divisors (75865655419848).

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

26475562064952 is a wasteful number, since it uses less digits than its factorization.

26475562064952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16065 (or 16055 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 26475562064952 in words is "twenty-six trillion, four hundred seventy-five billion, five hundred sixty-two million, sixty-four thousand, nine hundred fifty-two".