26160741609840 has 2560 divisors, whose sum is σ = 106686885888000. Its totient is φ = 5920847953920.

The previous prime is 26160741609763. The next prime is 26160741609851. The reversal of 26160741609840 is 4890614706162.

26160741609840 is a `hidden beast` number, since 2 + 616 + 0 + 7 + 4 + 16 + 0 + 9 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 190954318252 + ... + 190954318388.

It is an arithmetic number, because the mean of its divisors is an integer number (41674564800).

Almost surely, 2^{26160741609840} is an apocalyptic number.

26160741609840 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 26160741609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343442944000).

26160741609840 is an abundant number, since it is smaller than the sum of its proper divisors (80526144278160).

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

26160741609840 is a wasteful number, since it uses less digits than its factorization.

26160741609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26160741609840 in words is "twenty-six trillion, one hundred sixty billion, seven hundred forty-one million, six hundred nine thousand, eight hundred forty".