26976400883712 has 1920 divisors, whose sum is σ = 101556099993600. Its totient is φ = 6906206748672.

The previous prime is 26976400883669. The next prime is 26976400883771. The reversal of 26976400883712 is 21738800467962.

26976400883712 is a `hidden beast` number, since 26 + 97 + 6 + 400 + 88 + 37 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 26976400883712.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76420398928 + ... + 76420399280.

It is an arithmetic number, because the mean of its divisors is an integer number (52893802080).

Almost surely, 2^{26976400883712} 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 26976400883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778049996800).

26976400883712 is an abundant number, since it is smaller than the sum of its proper divisors (74579699109888).

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

26976400883712 is a wasteful number, since it uses less digits than its factorization.

26976400883712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 26976400883712 in words is "twenty-six trillion, nine hundred seventy-six billion, four hundred million, eight hundred eighty-three thousand, seven hundred twelve".