26489756160 has 640 divisors, whose sum is σ = 109670837760. Its totient is φ = 5934809088.

The previous prime is 26489756159. The next prime is 26489756179. The reversal of 26489756160 is 6165798462.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26489756097 and 26489756106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25643004 + ... + 25644036.

It is an arithmetic number, because the mean of its divisors is an integer number (171360684).

Almost surely, 2^26489756160 is an apocalyptic number.

26489756160 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 26489756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835418880).

26489756160 is an abundant number, since it is smaller than the sum of its proper divisors (83181081600).

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

26489756160 is a wasteful number, since it uses less digits than its factorization.

26489756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26489756160 in words is "twenty-six billion, four hundred eighty-nine million, seven hundred fifty-six thousand, one hundred sixty".