26418405960 has 448 divisors, whose sum is σ = 95296921200. Its totient is φ = 6565183488.

The previous prime is 26418405953. The next prime is 26418405967. The reversal of 26418405960 is 6950481462.

26418405960 is a `hidden beast` number, since 2 + 6 + 4 + 18 + 40 + 596 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26418405953) and next prime (26418405967).

It can be written as a sum of positive squares in 8 ways, for example, as 12725193636 + 13693212324 = 112806^2 + 117018^2 .

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 (26418405967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67913446 + ... + 67913834.

Almost surely, 2^26418405960 is an apocalyptic number.

26418405960 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 26418405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47648460600).

26418405960 is an abundant number, since it is smaller than the sum of its proper divisors (68878515240).

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

26418405960 is a wasteful number, since it uses less digits than its factorization.

26418405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26418405960 in words is "twenty-six billion, four hundred eighteen million, four hundred five thousand, nine hundred sixty".