26100056400 has 240 divisors, whose sum is σ = 92115586368. Its totient is φ = 6264320000.

The previous prime is 26100056399. The next prime is 26100056407. The reversal of 26100056400 is 465000162.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×26100056400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26100056407) 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, 1323412 + ... + 1342988.

Almost surely, 2^26100056400 is an apocalyptic number.

26100056400 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 26100056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46057793184).

26100056400 is an abundant number, since it is smaller than the sum of its proper divisors (66015529968).

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

26100056400 is a wasteful number, since it uses less digits than its factorization.

26100056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19710 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 26100056400 its reverse (465000162), we get a palindrome (26565056562).

The spelling of 26100056400 in words is "twenty-six billion, one hundred million, fifty-six thousand, four hundred".