26721969120 has 1152 divisors, whose sum is σ = 120335846400. Its totient is φ = 5419560960.

The previous prime is 26721969101. The next prime is 26721969121. The reversal of 26721969120 is 2196912762.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26721969121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245155626 + ... + 245155734.

It is an arithmetic number, because the mean of its divisors is an integer number (104458200).

Almost surely, 2^26721969120 is an apocalyptic number.

26721969120 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 26721969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60167923200).

26721969120 is an abundant number, since it is smaller than the sum of its proper divisors (93613877280).

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

26721969120 is a wasteful number, since it uses less digits than its factorization.

26721969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 26721969120 in words is "twenty-six billion, seven hundred twenty-one million, nine hundred sixty-nine thousand, one hundred twenty".