26481740645360 has 960 divisors, whose sum is σ = 89388803750400. Its totient is φ = 7151580979200.

The previous prime is 26481740645329. The next prime is 26481740645383. The reversal of 26481740645360 is 6354604718462.

It is a super-2 number, since 2×26481740645360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 26481740645296 and 26481740645305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1160908355 + ... + 1160931165.

It is an arithmetic number, because the mean of its divisors is an integer number (93113337240).

Almost surely, 2^{26481740645360} is an apocalyptic number.

26481740645360 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 26481740645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44694401875200).

26481740645360 is an abundant number, since it is smaller than the sum of its proper divisors (62907063105040).

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

26481740645360 is a wasteful number, since it uses less digits than its factorization.

26481740645360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22990 (or 22977 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 56.

The spelling of 26481740645360 in words is "twenty-six trillion, four hundred eighty-one billion, seven hundred forty million, six hundred forty-five thousand, three hundred sixty".