869551728240 has 320 divisors, whose sum is σ = 3071863388160. Its totient is φ = 201852456960.

The previous prime is 869551728233. The next prime is 869551728293. The reversal of 869551728240 is 42827155968.

It is a super-2 number, since 2×869551728240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5009626 + ... + 5180294.

It is an arithmetic number, because the mean of its divisors is an integer number (9599573088).

Almost surely, 2^869551728240 is an apocalyptic number.

869551728240 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 869551728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535931694080).

869551728240 is an abundant number, since it is smaller than the sum of its proper divisors (2202311659920).

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

869551728240 is a wasteful number, since it uses less digits than its factorization.

869551728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170792 (or 170786 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 869551728240 in words is "eight hundred sixty-nine billion, five hundred fifty-one million, seven hundred twenty-eight thousand, two hundred forty".