26683289460 has 192 divisors, whose sum is σ = 86742835200. Its totient is φ = 6796842624.

The previous prime is 26683289447. The next prime is 26683289473. The reversal of 26683289460 is 6498238662.

26683289460 is a `hidden beast` number, since 26 + 6 + 83 + 2 + 89 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (26683289447) and next prime (26683289473).

It is a super-2 number, since 2×26683289460² (a number of 22 digits) contains 22 as substring.

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 = 26683289397 and 26683289406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16480531 + ... + 16482149.

It is an arithmetic number, because the mean of its divisors is an integer number (451785600).

Almost surely, 2^26683289460 is an apocalyptic number.

26683289460 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 26683289460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43371417600).

26683289460 is an abundant number, since it is smaller than the sum of its proper divisors (60059545740).

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

26683289460 is a wasteful number, since it uses less digits than its factorization.

26683289460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 26683289460 in words is "twenty-six billion, six hundred eighty-three million, two hundred eighty-nine thousand, four hundred sixty".