26013533042400 has 144 divisors (see below), whose sum is σ = 85937842376064. Its totient is φ = 6833405652480.

The previous prime is 26013533042369. The next prime is 26013533042407. The reversal of 26013533042400 is 424033531062.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26013533042407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80727052 + ... + 81048651.

It is an arithmetic number, because the mean of its divisors is an integer number (596790572056).

Almost surely, 2^{26013533042400} is an apocalyptic number.

26013533042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26013533042400 is an abundant number, since it is smaller than the sum of its proper divisors (59924309333664).

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

26013533042400 is a wasteful number, since it uses less digits than its factorization.

26013533042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161775793 (or 161775780 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 26013533042400 its reverse (424033531062), we get a palindrome (26437566573462).

The spelling of 26013533042400 in words is "twenty-six trillion, thirteen billion, five hundred thirty-three million, forty-two thousand, four hundred".