26448975360 has 960 divisors, whose sum is σ = 104722922304. Its totient is φ = 6370099200.

The previous prime is 26448975341. The next prime is 26448975367. The reversal of 26448975360 is 6357984462.

26448975360 is a `hidden beast` number, since 2 + 6 + 448 + 97 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26448975297 and 26448975306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26448975367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433589730 + ... + 433589790.

Almost surely, 2^26448975360 is an apocalyptic number.

26448975360 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 26448975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52361461152).

26448975360 is an abundant number, since it is smaller than the sum of its proper divisors (78273946944).

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

26448975360 is an equidigital number, since it uses as much as digits as its factorization.

26448975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 26448975360 in words is "twenty-six billion, four hundred forty-eight million, nine hundred seventy-five thousand, three hundred sixty".