26409478320 has 240 divisors, whose sum is σ = 89733256704. Its totient is φ = 6960384000.

The previous prime is 26409478309. The next prime is 26409478349. The reversal of 26409478320 is 2387490462.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24890590 + ... + 24891650.

Almost surely, 2^26409478320 is an apocalyptic number.

26409478320 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 26409478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866628352).

26409478320 is an abundant number, since it is smaller than the sum of its proper divisors (63323778384).

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

26409478320 is a wasteful number, since it uses less digits than its factorization.

26409478320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26409478320 in words is "twenty-six billion, four hundred nine million, four hundred seventy-eight thousand, three hundred twenty".