26142089328960 has 672 divisors, whose sum is σ = 97708693340160. Its totient is φ = 5866348646400.

The previous prime is 26142089328923. The next prime is 26142089328989. The reversal of 26142089328960 is 6982398024162.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 26142089328894 and 26142089328903.

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, 173097961 + ... + 173248919.

It is an arithmetic number, because the mean of its divisors is an integer number (145399841280).

Almost surely, 2^{26142089328960} is an apocalyptic number.

26142089328960 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 26142089328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854346670080).

26142089328960 is an abundant number, since it is smaller than the sum of its proper divisors (71566604011200).

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

26142089328960 is a wasteful number, since it uses less digits than its factorization.

26142089328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151067 (or 151034 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 26142089328960 in words is "twenty-six trillion, one hundred forty-two billion, eighty-nine million, three hundred twenty-eight thousand, nine hundred sixty".