87509183856 has 80 divisors (see below), whose sum is σ = 234489113760. Its totient is φ = 28088202240.

The previous prime is 87509183851. The next prime is 87509183887. The reversal of 87509183856 is 65838190578.

It is a super-2 number, since 2×87509183856² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87509183856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87509183851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434946 + ... + 603486.

It is an arithmetic number, because the mean of its divisors is an integer number (2931113922).

Almost surely, 2^87509183856 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 87509183856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117244556880).

87509183856 is an abundant number, since it is smaller than the sum of its proper divisors (146979929904).

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

87509183856 is a wasteful number, since it uses less digits than its factorization.

87509183856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168954 (or 168948 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 87509183856 in words is "eighty-seven billion, five hundred nine million, one hundred eighty-three thousand, eight hundred fifty-six".