26065190846464 has 765 divisors, whose sum is σ = 68701379890101. Its totient is φ = 9880802426880.

The previous prime is 26065190846413. The next prime is 26065190846533. The reversal of 26065190846464 is 46464809156062.

It is a happy number.

The square root of 26065190846464 is 5105408.

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., 23323490713600 + 2741700132864 = 4829440^2 + 1655808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 704464617454 + ... + 704464617490.

Almost surely, 2^{26065190846464} is an apocalyptic number.

26065190846464 is the 5105408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26065190846464

26065190846464 is an abundant number, since it is smaller than the sum of its proper divisors (42636189043637).

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

26065190846464 is an frugal number, since it uses more digits than its factorization.

26065190846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 61.

The spelling of 26065190846464 in words is "twenty-six trillion, sixty-five billion, one hundred ninety million, eight hundred forty-six thousand, four hundred sixty-four".