26339968561536 has 1536 divisors, whose sum is σ = 94997542348800. Its totient is φ = 7106641920000.

The previous prime is 26339968561471. The next prime is 26339968561553. The reversal of 26339968561536 is 63516586993362.

26339968561536 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 9 + 9 + 6 + 8 + 561 + 53 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 65685706936 + ... + 65685707336.

It is an arithmetic number, because the mean of its divisors is an integer number (61847358300).

Almost surely, 2^{26339968561536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26339968561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47498771174400).

26339968561536 is an abundant number, since it is smaller than the sum of its proper divisors (68657573787264).

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

26339968561536 is a wasteful number, since it uses less digits than its factorization.

26339968561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 646 counting only the distinct ones).

The product of its digits is 1133740800, while the sum is 72.

The spelling of 26339968561536 in words is "twenty-six trillion, three hundred thirty-nine billion, nine hundred sixty-eight million, five hundred sixty-one thousand, five hundred thirty-six".