26107480800 has 216 divisors, whose sum is σ = 95032042560. Its totient is φ = 6737356800.

The previous prime is 26107480739. The next prime is 26107480801. The reversal of 26107480800 is 808470162.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26107480801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164716 + ... + 281684.

It is an arithmetic number, because the mean of its divisors is an integer number (439963160).

Almost surely, 2^26107480800 is an apocalyptic number.

26107480800 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 26107480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47516021280).

26107480800 is an abundant number, since it is smaller than the sum of its proper divisors (68924561760).

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

26107480800 is a wasteful number, since it uses less digits than its factorization.

26107480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117026 (or 117010 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 26107480800 in words is "twenty-six billion, one hundred seven million, four hundred eighty thousand, eight hundred".