26498545920 has 432 divisors, whose sum is σ = 114308917632. Its totient is φ = 5506007040.

The previous prime is 26498545889. The next prime is 26498545933. The reversal of 26498545920 is 2954589462.

26498545920 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 8 + 545 + 92 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872104 + ... + 901976.

It is an arithmetic number, because the mean of its divisors is an integer number (264603976).

Almost surely, 2^26498545920 is an apocalyptic number.

26498545920 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 26498545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57154458816).

26498545920 is an abundant number, since it is smaller than the sum of its proper divisors (87810371712).

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

26498545920 is a wasteful number, since it uses less digits than its factorization.

26498545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29918 (or 29901 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 26498545920 in words is "twenty-six billion, four hundred ninety-eight million, five hundred forty-five thousand, nine hundred twenty".