865290142080 has 2048 divisors, whose sum is σ = 3937606041600. Its totient is φ = 174739783680.

The previous prime is 865290142063. The next prime is 865290142081. The reversal of 865290142080 is 80241092568.

865290142080 is a `hidden beast` number, since 8 + 6 + 529 + 0 + 1 + 42 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865290142081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4530314785 + ... + 4530314975.

It is an arithmetic number, because the mean of its divisors is an integer number (1922659200).

Almost surely, 2^865290142080 is an apocalyptic number.

865290142080 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 865290142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968803020800).

865290142080 is an abundant number, since it is smaller than the sum of its proper divisors (3072315899520).

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

865290142080 is a wasteful number, since it uses less digits than its factorization.

865290142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 865290142080 in words is "eight hundred sixty-five billion, two hundred ninety million, one hundred forty-two thousand, eighty".