865726341120 has 784 divisors, whose sum is σ = 3163025180160. Its totient is φ = 227316989952.

The previous prime is 865726341107. The next prime is 865726341121. The reversal of 865726341120 is 21143627568.

865726341120 is a `hidden beast` number, since 8 + 6 + 5 + 7 + 2 + 634 + 1 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (865726341121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2358927177 + ... + 2358927543.

Almost surely, 2^865726341120 is an apocalyptic number.

865726341120 is a gapful number since it is divisible by the number (80) 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 865726341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581512590080).

865726341120 is an abundant number, since it is smaller than the sum of its proper divisors (2297298839040).

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

865726341120 is an frugal number, since it uses more digits than its factorization.

865726341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 865726341120 its reverse (21143627568), we get a palindrome (886869968688).

The spelling of 865726341120 in words is "eight hundred sixty-five billion, seven hundred twenty-six million, three hundred forty-one thousand, one hundred twenty".