862411605120 has 2048 divisors, whose sum is σ = 3667378176000. Its totient is φ = 189621927936.

The previous prime is 862411605071. The next prime is 862411605131. The reversal of 862411605120 is 21506114268.

It is a happy number.

862411605120 is a `hidden beast` number, since 8 + 6 + 2 + 41 + 1 + 605 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6790642497 + ... + 6790642623.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712000).

Almost surely, 2^862411605120 is an apocalyptic number.

862411605120 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 862411605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833689088000).

862411605120 is an abundant number, since it is smaller than the sum of its proper divisors (2804966570880).

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

862411605120 is a wasteful number, since it uses less digits than its factorization.

862411605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 862411605120 its reverse (21506114268), we get a palindrome (883917719388).

The spelling of 862411605120 in words is "eight hundred sixty-two billion, four hundred eleven million, six hundred five thousand, one hundred twenty".