26730692997120 has 2184 divisors, whose sum is σ = 113900631991200. Its totient is φ = 5999677931520.

The previous prime is 26730692997101. The next prime is 26730692997131. The reversal of 26730692997120 is 2179929603762.

26730692997120 is a `hidden beast` number, since 26 + 7 + 306 + 9 + 299 + 7 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44625530581 + ... + 44625531179.

Almost surely, 2^{26730692997120} is an apocalyptic number.

26730692997120 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 26730692997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56950315995600).

26730692997120 is an abundant number, since it is smaller than the sum of its proper divisors (87169938994080).

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

26730692997120 is an frugal number, since it uses more digits than its factorization.

26730692997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 26730692997120 in words is "twenty-six trillion, seven hundred thirty billion, six hundred ninety-two million, nine hundred ninety-seven thousand, one hundred twenty".