26297030972160 has 1440 divisors, whose sum is σ = 103813588150272. Its totient is φ = 6315595038720.

The previous prime is 26297030972119. The next prime is 26297030972171. The reversal of 26297030972160 is 6127903079262.

26297030972160 is a `hidden beast` number, since 2 + 629 + 7 + 0 + 3 + 0 + 9 + 7 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26297030972097 and 26297030972106.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36171981717 + ... + 36171982443.

Almost surely, 2^{26297030972160} is an apocalyptic number.

26297030972160 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 26297030972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51906794075136).

26297030972160 is an abundant number, since it is smaller than the sum of its proper divisors (77516557178112).

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

26297030972160 is a wasteful number, since it uses less digits than its factorization.

26297030972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 26297030972160 in words is "twenty-six trillion, two hundred ninety-seven billion, thirty million, nine hundred seventy-two thousand, one hundred sixty".