26825955840 has 480 divisors, whose sum is σ = 99736116480. Its totient is φ = 6902267904.

The previous prime is 26825955781. The next prime is 26825955841. The reversal of 26825955840 is 4855952862.

26825955840 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 59 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26825955841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18039577 + ... + 18041063.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^26825955840 is an apocalyptic number.

26825955840 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 26825955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868058240).

26825955840 is an abundant number, since it is smaller than the sum of its proper divisors (72910160640).

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

26825955840 is an equidigital number, since it uses as much as digits as its factorization.

26825955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 26825955840 in words is "twenty-six billion, eight hundred twenty-five million, nine hundred fifty-five thousand, eight hundred forty".