26401011 has 48 divisors (see below), whose sum is σ = 44833536. Its totient is φ = 13523328.

The previous prime is 26401003. The next prime is 26401061. The reversal of 26401011 is 11010462.

26401011 is a nontrivial binomial coefficient, being equal to C(7267, 2).

It is not a de Polignac number, because 26401011 - 2³ = 26401003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26401061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152521 + ... + 152693.

It is an arithmetic number, because the mean of its divisors is an integer number (934032).

Almost surely, 2^26401011 is an apocalyptic number.

26401011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26401011 is the 7266-th triangular number.

26401011 is a deficient number, since it is larger than the sum of its proper divisors (18432525).

26401011 is a wasteful number, since it uses less digits than its factorization.

26401011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 26401011 is about 5138.1914133282. The cubic root of 26401011 is about 297.7649115079.

Adding to 26401011 its reverse (11010462), we get a palindrome (37411473).

The spelling of 26401011 in words is "twenty-six million, four hundred one thousand, eleven".