26119285920 has 480 divisors, whose sum is σ = 113456585088. Its totient is φ = 5510633472.

The previous prime is 26119285903. The next prime is 26119285931. The reversal of 26119285920 is 2958291162.

It is a happy number.

26119285920 is a `hidden beast` number, since 2 + 611 + 9 + 2 + 8 + 5 + 9 + 20 = 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1168287 + ... + 1190433.

Almost surely, 2^26119285920 is an apocalyptic number.

26119285920 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 26119285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56728292544).

26119285920 is an abundant number, since it is smaller than the sum of its proper divisors (87337299168).

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

26119285920 is a wasteful number, since it uses less digits than its factorization.

26119285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22194 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 26119285920 in words is "twenty-six billion, one hundred nineteen million, two hundred eighty-five thousand, nine hundred twenty".