26273509920 has 504 divisors, whose sum is σ = 108281879244. Its totient is φ = 6004067328.

The previous prime is 26273509901. The next prime is 26273509921. The reversal of 26273509920 is 2990537262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23552427024 + 2721082896 = 153468^2 + 52164^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 (26273509921) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5713062 + ... + 5717658.

Almost surely, 2^26273509920 is an apocalyptic number.

26273509920 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 26273509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54140939622).

26273509920 is an abundant number, since it is smaller than the sum of its proper divisors (82008369324).

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

26273509920 is an equidigital number, since it uses as much as digits as its factorization.

26273509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 26273509920 in words is "twenty-six billion, two hundred seventy-three million, five hundred nine thousand, nine hundred twenty".