26960147616 has 96 divisors (see below), whose sum is σ = 72589644288. Its totient is φ = 8756264960.

The previous prime is 26960147597. The next prime is 26960147633. The reversal of 26960147616 is 61674106962.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×26960147616³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3392800 + ... + 3400736.

It is an arithmetic number, because the mean of its divisors is an integer number (756142128).

Almost surely, 2^26960147616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26960147616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36294822144).

26960147616 is an abundant number, since it is smaller than the sum of its proper divisors (45629496672).

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

26960147616 is a wasteful number, since it uses less digits than its factorization.

26960147616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 26960147616 in words is "twenty-six billion, nine hundred sixty million, one hundred forty-seven thousand, six hundred sixteen".