26858472960 has 640 divisors, whose sum is σ = 102175603200. Its totient is φ = 5945425920.

The previous prime is 26858472889. The next prime is 26858472961. The reversal of 26858472960 is 6927485862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 26858472960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26858472961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46548192 + ... + 46548768.

It is an arithmetic number, because the mean of its divisors is an integer number (159649380).

Almost surely, 2^26858472960 is an apocalyptic number.

26858472960 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 26858472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51087801600).

26858472960 is an abundant number, since it is smaller than the sum of its proper divisors (75317130240).

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

26858472960 is a wasteful number, since it uses less digits than its factorization.

26858472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 26858472960 in words is "twenty-six billion, eight hundred fifty-eight million, four hundred seventy-two thousand, nine hundred sixty".