26412491201760 has 192 divisors, whose sum is σ = 92461688524800. Its totient is φ = 7041961898496.

The previous prime is 26412491201699. The next prime is 26412491201783. The reversal of 26412491201760 is 6710219421462.

26412491201760 is a `hidden beast` number, since 2 + 6 + 412 + 49 + 1 + 20 + 176 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21729801 + ... + 22913079.

It is an arithmetic number, because the mean of its divisors is an integer number (481571294400).

Almost surely, 2^{26412491201760} is an apocalyptic number.

26412491201760 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 26412491201760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230844262400).

26412491201760 is an abundant number, since it is smaller than the sum of its proper divisors (66049197323040).

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

26412491201760 is a wasteful number, since it uses less digits than its factorization.

26412491201760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188470 (or 1188456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26412491201760 in words is "twenty-six trillion, four hundred twelve billion, four hundred ninety-one million, two hundred one thousand, seven hundred sixty".