26685919048320 has 640 divisors, whose sum is σ = 111858247416960. Its totient is φ = 5934780555264.

The previous prime is 26685919048279. The next prime is 26685919048331. The reversal of 26685919048320 is 2384091958662.

26685919048320 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 591 + 9 + 0 + 4 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12432787 + ... + 14420333.

It is an arithmetic number, because the mean of its divisors is an integer number (174778511589).

Almost surely, 2^{26685919048320} is an apocalyptic number.

26685919048320 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 26685919048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55929123708480).

26685919048320 is an abundant number, since it is smaller than the sum of its proper divisors (85172328368640).

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

26685919048320 is a wasteful number, since it uses less digits than its factorization.

26685919048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987622 (or 1987601 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 26685919048320 in words is "twenty-six trillion, six hundred eighty-five billion, nine hundred nineteen million, forty-eight thousand, three hundred twenty".