26960028268152 has 128 divisors (see below), whose sum is σ = 77798481868800. Its totient is φ = 7625896320000.

The previous prime is 26960028268057. The next prime is 26960028268153. The reversal of 26960028268152 is 25186282006962.

It is a junction number, because it is equal to n+sod(n) for n = 26960028268092 and 26960028268101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26960028268153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200172049 + ... + 200306687.

It is an arithmetic number, because the mean of its divisors is an integer number (607800639600).

Almost surely, 2^{26960028268152} 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 26960028268152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38899240934400).

26960028268152 is an abundant number, since it is smaller than the sum of its proper divisors (50838453600648).

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

26960028268152 is a wasteful number, since it uses less digits than its factorization.

26960028268152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146557 (or 146553 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 26960028268152 in words is "twenty-six trillion, nine hundred sixty billion, twenty-eight million, two hundred sixty-eight thousand, one hundred fifty-two".