26009994240 has 440 divisors, whose sum is σ = 94874028480. Its totient is φ = 6812024832.

The previous prime is 26009994211. The next prime is 26009994247. The reversal of 26009994240 is 4249990062.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (26009994247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24467949 + ... + 24469011.

It is an arithmetic number, because the mean of its divisors is an integer number (215622792).

Almost surely, 2^26009994240 is an apocalyptic number.

26009994240 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 26009994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437014240).

26009994240 is an abundant number, since it is smaller than the sum of its proper divisors (68864034240).

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

26009994240 is a wasteful number, since it uses less digits than its factorization.

26009994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26009994240 in words is "twenty-six billion, nine million, nine hundred ninety-four thousand, two hundred forty".