26962440960 has 1152 divisors, whose sum is σ = 116039024640. Its totient is φ = 5175705600.

The previous prime is 26962440949. The next prime is 26962441007. The reversal of 26962440960 is 6904426962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205820095 + ... + 205820225.

It is an arithmetic number, because the mean of its divisors is an integer number (100728320).

Almost surely, 2^26962440960 is an apocalyptic number.

26962440960 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 26962440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58019512320).

26962440960 is an abundant number, since it is smaller than the sum of its proper divisors (89076583680).

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

26962440960 is a wasteful number, since it uses less digits than its factorization.

26962440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 26962440960 in words is "twenty-six billion, nine hundred sixty-two million, four hundred forty thousand, nine hundred sixty".