26025985440 has 864 divisors, whose sum is σ = 117876442320. Its totient is φ = 5165088768.

The previous prime is 26025985399. The next prime is 26025985441. The reversal of 26025985440 is 4458952062.

26025985440 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 598 + 54 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10381979664 + 15644005776 = 101892^2 + 125076^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26025985441) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 15592926 + ... + 15594594.

Almost surely, 2^26025985440 is an apocalyptic number.

26025985440 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 26025985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58938221160).

26025985440 is an abundant number, since it is smaller than the sum of its proper divisors (91850456880).

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

26025985440 is a wasteful number, since it uses less digits than its factorization.

26025985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1716 counting only the distinct ones).

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

The spelling of 26025985440 in words is "twenty-six billion, twenty-five million, nine hundred eighty-five thousand, four hundred forty".