26945048312640 has 1344 divisors, whose sum is σ = 106805407887360. Its totient is φ = 6431212339200.

The previous prime is 26945048312599. The next prime is 26945048312701. The reversal of 26945048312640 is 4621384054962.

26945048312640 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 504 + 8 + 3 + 126 + 4 + 0 = 666.

It is a super-2 number, since 2×26945048312640² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 5442342165 + ... + 5442347115.

It is an arithmetic number, because the mean of its divisors is an integer number (79468309440).

Almost surely, 2^{26945048312640} is an apocalyptic number.

26945048312640 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 26945048312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53402703943680).

26945048312640 is an abundant number, since it is smaller than the sum of its proper divisors (79860359574720).

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

26945048312640 is a wasteful number, since it uses less digits than its factorization.

26945048312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 26945048312640 in words is "twenty-six trillion, nine hundred forty-five billion, forty-eight million, three hundred twelve thousand, six hundred forty".