26997775580160 has 3168 divisors, whose sum is σ = 124469707235328. Its totient is φ = 5548197150720.

The previous prime is 26997775580137. The next prime is 26997775580203. The reversal of 26997775580160 is 6108557779962.

26997775580160 is a `hidden beast` number, since 2 + 6 + 9 + 9 + 7 + 7 + 7 + 558 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 85166484322 + ... + 85166484638.

Almost surely, 2^{26997775580160} is an apocalyptic number.

26997775580160 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 26997775580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62234853617664).

26997775580160 is an abundant number, since it is smaller than the sum of its proper divisors (97471931655168).

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

26997775580160 is a wasteful number, since it uses less digits than its factorization.

26997775580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 26997775580160 in words is "twenty-six trillion, nine hundred ninety-seven billion, seven hundred seventy-five million, five hundred eighty thousand, one hundred sixty".