26853183005040 has 3200 divisors, whose sum is σ = 118226718720000. Its totient is φ = 5633058816000.

The previous prime is 26853183004997. The next prime is 26853183005063. The reversal of 26853183005040 is 4050038135862.

26853183005040 is a `hidden beast` number, since 2 + 6 + 85 + 31 + 8 + 30 + 0 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 177835648965 + ... + 177835649115.

It is an arithmetic number, because the mean of its divisors is an integer number (36945849600).

Almost surely, 2^{26853183005040} is an apocalyptic number.

26853183005040 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 26853183005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59113359360000).

26853183005040 is an abundant number, since it is smaller than the sum of its proper divisors (91373535714960).

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

26853183005040 is a wasteful number, since it uses less digits than its factorization.

26853183005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 26853183005040 in words is "twenty-six trillion, eight hundred fifty-three billion, one hundred eighty-three million, five thousand, forty".