26158151166016 has 189 divisors, whose sum is σ = 55085650395789. Its totient is φ = 12323908838400.

The previous prime is 26158151165987. The next prime is 26158151166023. The reversal of 26158151166016 is 61066115185162.

The square root of 26158151166016 is 5114504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1260446308416 + 24897704857600 = 1122696^2 + 4989760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52004276421 + ... + 52004276923.

Almost surely, 2^{26158151166016} is an apocalyptic number.

26158151166016 is the 5114504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26158151166016

26158151166016 is an abundant number, since it is smaller than the sum of its proper divisors (28927499229773).

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

26158151166016 is an frugal number, since it uses more digits than its factorization.

26158151166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The spelling of 26158151166016 in words is "twenty-six trillion, one hundred fifty-eight billion, one hundred fifty-one million, one hundred sixty-six thousand, sixteen".