26396053600 has 288 divisors, whose sum is σ = 76411109376. Its totient is φ = 8713267200.

The previous prime is 26396053571. The next prime is 26396053603. The reversal of 26396053600 is 635069362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26396053603) 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, 66488602 + ... + 66488998.

It is an arithmetic number, because the mean of its divisors is an integer number (265316352).

Almost surely, 2^26396053600 is an apocalyptic number.

26396053600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26396053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38205554688).

26396053600 is an abundant number, since it is smaller than the sum of its proper divisors (50015055776).

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

26396053600 is a wasteful number, since it uses less digits than its factorization.

26396053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The spelling of 26396053600 in words is "twenty-six billion, three hundred ninety-six million, fifty-three thousand, six hundred".