26845889782320 has 640 divisors, whose sum is σ = 108234501120000. Its totient is φ = 6113514839040.

The previous prime is 26845889782273. The next prime is 26845889782343. The reversal of 26845889782320 is 2328798854862.

26845889782320 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 588 + 9 + 7 + 8 + 2 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200711626 + ... + 200845334.

It is an arithmetic number, because the mean of its divisors is an integer number (169116408000).

Almost surely, 2^{26845889782320} is an apocalyptic number.

26845889782320 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 26845889782320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54117250560000).

26845889782320 is an abundant number, since it is smaller than the sum of its proper divisors (81388611337680).

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

26845889782320 is a wasteful number, since it uses less digits than its factorization.

26845889782320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134023 (or 133997 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 26845889782320 in words is "twenty-six trillion, eight hundred forty-five billion, eight hundred eighty-nine million, seven hundred eighty-two thousand, three hundred twenty".