26381343600 has 480 divisors, whose sum is σ = 97021022400. Its totient is φ = 6890158080.

The previous prime is 26381343589. The next prime is 26381343629. The reversal of 26381343600 is 634318362.

26381343600 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 1 + 3 + 43 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46364116 + ... + 46364684.

It is an arithmetic number, because the mean of its divisors is an integer number (202127130).

Almost surely, 2^26381343600 is an apocalyptic number.

26381343600 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 26381343600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48510511200).

26381343600 is an abundant number, since it is smaller than the sum of its proper divisors (70639678800).

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

26381343600 is an equidigital number, since it uses as much as digits as its factorization.

26381343600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26381343600 in words is "twenty-six billion, three hundred eighty-one million, three hundred forty-three thousand, six hundred".