87669664056 has 192 divisors, whose sum is σ = 264815460000. Its totient is φ = 26016076800.

The previous prime is 87669664051. The next prime is 87669664063. The reversal of 87669664056 is 65046696678.

87669664056 is a `hidden beast` number, since 87 + 66 + 96 + 6 + 405 + 6 = 666.

It is a super-2 number, since 2×87669664056² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87669663984 and 87669664002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87669664051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46116706 + ... + 46118606.

Almost surely, 2^87669664056 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 87669664056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132407730000).

87669664056 is an abundant number, since it is smaller than the sum of its proper divisors (177145795944).

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

87669664056 is a wasteful number, since it uses less digits than its factorization.

87669664056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 87669664056 in words is "eighty-seven billion, six hundred sixty-nine million, six hundred sixty-four thousand, fifty-six".