26145596416 has 99 divisors (see below), whose sum is σ = 54339393843. Its totient is φ = 12573480960.

The previous prime is 26145596383. The next prime is 26145596419. The reversal of 26145596416 is 61469554162.

The square root of 26145596416 is 161696.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26145596416.

It is not an unprimeable number, because it can be changed into a prime (26145596419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 160402351 + ... + 160402513.

Almost surely, 2^26145596416 is an apocalyptic number.

26145596416 is the 161696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26145596416

26145596416 is an abundant number, since it is smaller than the sum of its proper divisors (28193797427).

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

26145596416 is an frugal number, since it uses more digits than its factorization.

26145596416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 196 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

Multiplying 26145596416 by its sum of digits (49), we get a square (1281134224384 = 1131872²).

The spelling of 26145596416 in words is "twenty-six billion, one hundred forty-five million, five hundred ninety-six thousand, four hundred sixteen".