26161084800 has 288 divisors, whose sum is σ = 98263893000. Its totient is φ = 6608977920.

The previous prime is 26161084771. The next prime is 26161084837. The reversal of 26161084800 is 848016162.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523296 + ... + 571104.

Almost surely, 2^26161084800 is an apocalyptic number.

26161084800 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 26161084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49131946500).

26161084800 is an abundant number, since it is smaller than the sum of its proper divisors (72102808200).

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

26161084800 is a wasteful number, since it uses less digits than its factorization.

26161084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47858 (or 47838 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 26161084800 in words is "twenty-six billion, one hundred sixty-one million, eighty-four thousand, eight hundred".