26382565147120 has 240 divisors, whose sum is σ = 76876697388960. Its totient is φ = 8345968662528.

The previous prime is 26382565147117. The next prime is 26382565147123. The reversal of 26382565147120 is 2174156528362.

It is an interprime number because it is at equal distance from previous prime (26382565147117) and next prime (26382565147123).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26382565147123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116738391 + ... + 116964169.

It is an arithmetic number, because the mean of its divisors is an integer number (320319572454).

Almost surely, 2^{26382565147120} is an apocalyptic number.

26382565147120 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 26382565147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438348694480).

26382565147120 is an abundant number, since it is smaller than the sum of its proper divisors (50494132241840).

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

26382565147120 is a wasteful number, since it uses less digits than its factorization.

26382565147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228112 (or 228099 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 26382565147120 in words is "twenty-six trillion, three hundred eighty-two billion, five hundred sixty-five million, one hundred forty-seven thousand, one hundred twenty".