26668377960 has 512 divisors, whose sum is σ = 100472832000. Its totient is φ = 5525065728.

The previous prime is 26668377949. The next prime is 26668377977. The reversal of 26668377960 is 6977386662.

It is a super-2 number, since 2×26668377960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 26668377894 and 26668377903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72665697 + ... + 72666063.

It is an arithmetic number, because the mean of its divisors is an integer number (196236000).

Almost surely, 2^26668377960 is an apocalyptic number.

26668377960 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 26668377960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50236416000).

26668377960 is an abundant number, since it is smaller than the sum of its proper divisors (73804454040).

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

26668377960 is a wasteful number, since it uses less digits than its factorization.

26668377960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 26668377960 in words is "twenty-six billion, six hundred sixty-eight million, three hundred seventy-seven thousand, nine hundred sixty".