26944444993536 has 1040 divisors, whose sum is σ = 93997664982144. Its totient is φ = 7532260098048.

The previous prime is 26944444993471. The next prime is 26944444993541. The reversal of 26944444993536 is 63539944444962.

26944444993536 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 4 + 44 + 49 + 9 + 3 + 536 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21782089110 + ... + 21782090346.

Almost surely, 2^{26944444993536} 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 26944444993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46998832491072).

26944444993536 is an abundant number, since it is smaller than the sum of its proper divisors (67053219988608).

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

26944444993536 is a wasteful number, since it uses less digits than its factorization.

26944444993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1445 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 72.

The spelling of 26944444993536 in words is "twenty-six trillion, nine hundred forty-four billion, four hundred forty-four million, nine hundred ninety-three thousand, five hundred thirty-six".