26075364480 has 480 divisors, whose sum is σ = 102379481820. Its totient is φ = 6319779840.

The previous prime is 26075364467. The next prime is 26075364481. The reversal of 26075364480 is 8446357062.

26075364480 is a `hidden beast` number, since 2 + 60 + 7 + 53 + 64 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25848922176 + 226442304 = 160776^2 + 15048^2 .

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 not an unprimeable number, because it can be changed into a prime (26075364481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6270562 + ... + 6274718.

Almost surely, 2^26075364480 is an apocalyptic number.

26075364480 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 26075364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51189740910).

26075364480 is an abundant number, since it is smaller than the sum of its proper divisors (76304117340).

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

26075364480 is a wasteful number, since it uses less digits than its factorization.

26075364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26075364480 in words is "twenty-six billion, seventy-five million, three hundred sixty-four thousand, four hundred eighty".