87662717338616 has 128 divisors (see below), whose sum is σ = 191886598940160. Its totient is φ = 36769565606400.

The previous prime is 87662717338613. The next prime is 87662717338649. The reversal of 87662717338616 is 61683371726678.

It is a super-2 number, since 2×87662717338616² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87662717338616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87662717338613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945400726 + ... + 1945445786.

It is an arithmetic number, because the mean of its divisors is an integer number (1499114054220).

Almost surely, 2^{87662717338616} 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 87662717338616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95943299470080).

87662717338616 is an abundant number, since it is smaller than the sum of its proper divisors (104223881601544).

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

87662717338616 is a wasteful number, since it uses less digits than its factorization.

87662717338616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48485 (or 48481 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 71.

The spelling of 87662717338616 in words is "eighty-seven trillion, six hundred sixty-two billion, seven hundred seventeen million, three hundred thirty-eight thousand, six hundred sixteen".