26975242952064 has 384 divisors, whose sum is σ = 89181827280000. Its totient is φ = 7740254453760.

The previous prime is 26975242952051. The next prime is 26975242952113. The reversal of 26975242952064 is 46025924257962.

26975242952064 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 5 + 2 + 42 + 9 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 26975242951992 and 26975242952010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505345344 + ... + 505398720.

It is an arithmetic number, because the mean of its divisors is an integer number (232244341875).

Almost surely, 2^{26975242952064} is an apocalyptic number.

26975242952064 is a gapful number since it is divisible by the number (24) 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 26975242952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44590913640000).

26975242952064 is an abundant number, since it is smaller than the sum of its proper divisors (62206584327936).

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

26975242952064 is a wasteful number, since it uses less digits than its factorization.

26975242952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55526 (or 55511 counting only the distinct ones).

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

The spelling of 26975242952064 in words is "twenty-six trillion, nine hundred seventy-five billion, two hundred forty-two million, nine hundred fifty-two thousand, sixty-four".