26795691340992 has 672 divisors, whose sum is σ = 94624090030080. Its totient is φ = 7081130833920.

The previous prime is 26795691340861. The next prime is 26795691341117. The reversal of 26795691340992 is 29904319659762.

26795691340992 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 569 + 13 + 40 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26795691340992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4539331513 + ... + 4539337415.

Almost surely, 2^{26795691340992} 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 26795691340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47312045015040).

26795691340992 is an abundant number, since it is smaller than the sum of its proper divisors (67828398689088).

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

26795691340992 is a wasteful number, since it uses less digits than its factorization.

26795691340992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 26795691340992 in words is "twenty-six trillion, seven hundred ninety-five billion, six hundred ninety-one million, three hundred forty thousand, nine hundred ninety-two".