26945899960320 has 576 divisors, whose sum is σ = 106309255852800. Its totient is φ = 6248319221760.

The previous prime is 26945899960313. The next prime is 26945899960327. The reversal of 26945899960320 is 2306999854962.

26945899960320 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 5 + 8 + 9 + 9 + 9 + 603 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26945899960313) and next prime (26945899960327).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26945899960327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22738651 + ... + 23894309.

It is an arithmetic number, because the mean of its divisors is an integer number (184564680300).

Almost surely, 2^{26945899960320} is an apocalyptic number.

26945899960320 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 26945899960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53154627926400).

26945899960320 is an abundant number, since it is smaller than the sum of its proper divisors (79363355892480).

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

26945899960320 is a wasteful number, since it uses less digits than its factorization.

26945899960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155726 (or 1155703 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 26945899960320 in words is "twenty-six trillion, nine hundred forty-five billion, eight hundred ninety-nine million, nine hundred sixty thousand, three hundred twenty".