26072766720 has 2592 divisors, whose sum is σ = 137404874880. Its totient is φ = 4459069440.

The previous prime is 26072766647. The next prime is 26072766743. The reversal of 26072766720 is 2766727062.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1372250871 + ... + 1372250889.

It is an arithmetic number, because the mean of its divisors is an integer number (53011140).

Almost surely, 2^26072766720 is an apocalyptic number.

26072766720 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 26072766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68702437440).

26072766720 is an abundant number, since it is smaller than the sum of its proper divisors (111332108160).

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

26072766720 is a wasteful number, since it uses less digits than its factorization.

26072766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 26072766720 in words is "twenty-six billion, seventy-two million, seven hundred sixty-six thousand, seven hundred twenty".