26935702641 has 27 divisors (see below), whose sum is σ = 39242105643. Its totient is φ = 17803846080.

The previous prime is 26935702639. The next prime is 26935702643. The reversal of 26935702641 is 14620753962.

The square root of 26935702641 is 164121.

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

It is an interprime number because it is at equal distance from previous prime (26935702639) and next prime (26935702643).

It can be written as a sum of positive squares in only one way, i.e., 20257544241 + 6678158400 = 142329^2 + 81720^2 .

It is not a de Polignac number, because 26935702641 - 2¹ = 26935702639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26935702643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111766281 + ... + 111766521.

Almost surely, 2^26935702641 is an apocalyptic number.

26935702641 is the 164121-st square number.

26935702641 is the 82061-st centered octagonal number.

It is an amenable number.

26935702641 is a deficient number, since it is larger than the sum of its proper divisors (12306403002).

26935702641 is an frugal number, since it uses more digits than its factorization.

26935702641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 26935702641 in words is "twenty-six billion, nine hundred thirty-five million, seven hundred two thousand, six hundred forty-one".