26428692960 has 480 divisors, whose sum is σ = 101593245600. Its totient is φ = 6444748800.

The previous prime is 26428692937. The next prime is 26428692977. The reversal of 26428692960 is 6929682462.

It is a happy number.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 26428692897 and 26428692906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139110 + ... + 7142810.

It is an arithmetic number, because the mean of its divisors is an integer number (211652595).

Almost surely, 2^26428692960 is an apocalyptic number.

26428692960 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 26428692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796622800).

26428692960 is an abundant number, since it is smaller than the sum of its proper divisors (75164552640).

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

26428692960 is a wasteful number, since it uses less digits than its factorization.

26428692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 26428692960 in words is "twenty-six billion, four hundred twenty-eight million, six hundred ninety-two thousand, nine hundred sixty".