26905919040 has 2240 divisors, whose sum is σ = 138294148608. Its totient is φ = 4777574400.

The previous prime is 26905919039. The next prime is 26905919069. The reversal of 26905919040 is 4091950962.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 441080610 + ... + 441080670.

Almost surely, 2^26905919040 is an apocalyptic number.

26905919040 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 26905919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69147074304).

26905919040 is an abundant number, since it is smaller than the sum of its proper divisors (111388229568).

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

26905919040 is a wasteful number, since it uses less digits than its factorization.

26905919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 26905919040 in words is "twenty-six billion, nine hundred five million, nine hundred nineteen thousand, forty".