869258913120 has 960 divisors, whose sum is σ = 3457792800000. Its totient is φ = 204169641984.

The previous prime is 869258913059. The next prime is 869258913151. The reversal of 869258913120 is 21319852968.

869258913120 is a `hidden beast` number, since 8 + 6 + 9 + 2 + 589 + 1 + 31 + 20 = 666.

869258913120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×869258913120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 434845881 + ... + 434847879.

It is an arithmetic number, because the mean of its divisors is an integer number (3601867500).

Almost surely, 2^869258913120 is an apocalyptic number.

869258913120 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 869258913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728896400000).

869258913120 is an abundant number, since it is smaller than the sum of its proper divisors (2588533886880).

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

869258913120 is a wasteful number, since it uses less digits than its factorization.

869258913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 869258913120 in words is "eight hundred sixty-nine billion, two hundred fifty-eight million, nine hundred thirteen thousand, one hundred twenty".