26141640800 has 144 divisors (see below), whose sum is σ = 70273127232. Its totient is φ = 9416870400.

The previous prime is 26141640797. The next prime is 26141640823. The reversal of 26141640800 is 804614162.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927719 + ... + 955481.

It is an arithmetic number, because the mean of its divisors is an integer number (488007828).

Almost surely, 2^26141640800 is an apocalyptic number.

26141640800 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 26141640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35136563616).

26141640800 is an abundant number, since it is smaller than the sum of its proper divisors (44131486432).

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

26141640800 is a wasteful number, since it uses less digits than its factorization.

26141640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27901 (or 27888 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 26141640800 in words is "twenty-six billion, one hundred forty-one million, six hundred forty thousand, eight hundred".