26748954960 has 720 divisors, whose sum is σ = 107221333824. Its totient is φ = 5494874112.

The previous prime is 26748954959. The next prime is 26748954977. The reversal of 26748954960 is 6945984762.

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 = 26748954894 and 26748954903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85459764 + ... + 85460076.

Almost surely, 2^26748954960 is an apocalyptic number.

26748954960 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 26748954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53610666912).

26748954960 is an abundant number, since it is smaller than the sum of its proper divisors (80472378864).

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

26748954960 is a wasteful number, since it uses less digits than its factorization.

26748954960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 26748954960 in words is "twenty-six billion, seven hundred forty-eight million, nine hundred fifty-four thousand, nine hundred sixty".