26961646884480 has 2304 divisors, whose sum is σ = 125849689580160. Its totient is φ = 5450376314880.

The previous prime is 26961646884461. The next prime is 26961646884493. The reversal of 26961646884480 is 8448864616962.

26961646884480 is a `hidden beast` number, since 2 + 6 + 9 + 6 + 1 + 6 + 4 + 68 + 84 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26961646884399 and 26961646884408.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3101531014 + ... + 3101539706.

Almost surely, 2^{26961646884480} is an apocalyptic number.

26961646884480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26961646884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62924844790080).

26961646884480 is an abundant number, since it is smaller than the sum of its proper divisors (98888042695680).

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

26961646884480 is a wasteful number, since it uses less digits than its factorization.

26961646884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 26961646884480 in words is "twenty-six trillion, nine hundred sixty-one billion, six hundred forty-six million, eight hundred eighty-four thousand, four hundred eighty".