26197992596160 has 4032 divisors, whose sum is σ = 125330039976960. Its totient is φ = 5054076518400.

The previous prime is 26197992596101. The next prime is 26197992596161. The reversal of 26197992596160 is 6169529979162.

26197992596160 is a `hidden beast` number, since 2 + 6 + 19 + 7 + 9 + 9 + 2 + 596 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26197992596161) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 166866194802 + ... + 166866194958.

It is an arithmetic number, because the mean of its divisors is an integer number (31083839280).

Almost surely, 2^{26197992596160} is an apocalyptic number.

26197992596160 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 26197992596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62665019988480).

26197992596160 is an abundant number, since it is smaller than the sum of its proper divisors (99132047380800).

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

26197992596160 is a wasteful number, since it uses less digits than its factorization.

26197992596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 26197992596160 in words is "twenty-six trillion, one hundred ninety-seven billion, nine hundred ninety-two million, five hundred ninety-six thousand, one hundred sixty".