26051061120 has 768 divisors, whose sum is σ = 106417497600. Its totient is φ = 5294260224.

The previous prime is 26051061107. The next prime is 26051061161. The reversal of 26051061120 is 2116015062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73798864 + ... + 73799216.

It is an arithmetic number, because the mean of its divisors is an integer number (138564450).

Almost surely, 2^26051061120 is an apocalyptic number.

26051061120 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 26051061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53208748800).

26051061120 is an abundant number, since it is smaller than the sum of its proper divisors (80366436480).

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

26051061120 is a wasteful number, since it uses less digits than its factorization.

26051061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 26051061120 its reverse (2116015062), we get a palindrome (28167076182).

The spelling of 26051061120 in words is "twenty-six billion, fifty-one million, sixty-one thousand, one hundred twenty".