26045639294976 has 456 divisors, whose sum is σ = 87032413750464. Its totient is φ = 7351566336000.

The previous prime is 26045639294923. The next prime is 26045639295001. The reversal of 26045639294976 is 67949293654062.

26045639294976 is a `hidden beast` number, since 2 + 6 + 0 + 45 + 6 + 3 + 92 + 9 + 497 + 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370741476 + ... + 1370760476.

Almost surely, 2^{26045639294976} 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 26045639294976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43516206875232).

26045639294976 is an abundant number, since it is smaller than the sum of its proper divisors (60986774455488).

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

26045639294976 is an frugal number, since it uses more digits than its factorization.

26045639294976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19133 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 26045639294976 in words is "twenty-six trillion, forty-five billion, six hundred thirty-nine million, two hundred ninety-four thousand, nine hundred seventy-six".