26197493722560 has 672 divisors, whose sum is σ = 95136196458240. Its totient is φ = 6786320486400.

The previous prime is 26197493722481. The next prime is 26197493722579. The reversal of 26197493722560 is 6522739479162.

26197493722560 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 7 + 4 + 9 + 372 + 256 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9592636395 + ... + 9592639125.

It is an arithmetic number, because the mean of its divisors is an integer number (141571720920).

Almost surely, 2^{26197493722560} is an apocalyptic number.

26197493722560 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 26197493722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568098229120).

26197493722560 is an abundant number, since it is smaller than the sum of its proper divisors (68938702735680).

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

26197493722560 is a wasteful number, since it uses less digits than its factorization.

26197493722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 26197493722560 in words is "twenty-six trillion, one hundred ninety-seven billion, four hundred ninety-three million, seven hundred twenty-two thousand, five hundred sixty".