26116953120 has 720 divisors, whose sum is σ = 103345925760. Its totient is φ = 6192930816.

The previous prime is 26116953059. The next prime is 26116953143. The reversal of 26116953120 is 2135961162.

26116953120 is a `hidden beast` number, since 2 + 6 + 116 + 9 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 71163177 + ... + 71163543.

It is an arithmetic number, because the mean of its divisors is an integer number (143536008).

Almost surely, 2^26116953120 is an apocalyptic number.

26116953120 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 26116953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51672962880).

26116953120 is an abundant number, since it is smaller than the sum of its proper divisors (77228972640).

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

26116953120 is a wasteful number, since it uses less digits than its factorization.

26116953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 26116953120 in words is "twenty-six billion, one hundred sixteen million, nine hundred fifty-three thousand, one hundred twenty".