26823421985040 has 800 divisors, whose sum is σ = 99573722873856. Its totient is φ = 6676036899840.

The previous prime is 26823421985027. The next prime is 26823421985051. The reversal of 26823421985040 is 4058912432862.

26823421985040 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 3 + 42 + 1 + 98 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10042462905 + ... + 10042465575.

Almost surely, 2^{26823421985040} is an apocalyptic number.

26823421985040 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 26823421985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49786861436928).

26823421985040 is an abundant number, since it is smaller than the sum of its proper divisors (72750300888816).

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

26823421985040 is a wasteful number, since it uses less digits than its factorization.

26823421985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26823421985040 in words is "twenty-six trillion, eight hundred twenty-three billion, four hundred twenty-one million, nine hundred eighty-five thousand, forty".