872391852696 has 512 divisors, whose sum is σ = 2842459361280. Its totient is φ = 216843264000.

The previous prime is 872391852671. The next prime is 872391852721. The reversal of 872391852696 is 696258193278.

It is an interprime number because it is at equal distance from previous prime (872391852671) and next prime (872391852721).

It is a super-2 number, since 2×872391852696² (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 127 ways as a sum of consecutive naturals, for example, 1892389906 + ... + 1892390366.

It is an arithmetic number, because the mean of its divisors is an integer number (5551678440).

Almost surely, 2^872391852696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872391852696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421229680640).

872391852696 is an abundant number, since it is smaller than the sum of its proper divisors (1970067508584).

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

872391852696 is a wasteful number, since it uses less digits than its factorization.

872391852696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 66.

The spelling of 872391852696 in words is "eight hundred seventy-two billion, three hundred ninety-one million, eight hundred fifty-two thousand, six hundred ninety-six".