87445605564 has 192 divisors, whose sum is σ = 233378611200. Its totient is φ = 28307226816.

The previous prime is 87445605563. The next prime is 87445605571. The reversal of 87445605564 is 46550654478.

87445605564 is a `hidden beast` number, since 8 + 74 + 4 + 5 + 6 + 0 + 5 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 87445605564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87445605563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228317317 + ... + 228317699.

It is an arithmetic number, because the mean of its divisors is an integer number (1215513600).

Almost surely, 2^87445605564 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 87445605564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116689305600).

87445605564 is an abundant number, since it is smaller than the sum of its proper divisors (145933005636).

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

87445605564 is a wasteful number, since it uses less digits than its factorization.

87445605564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 87445605564 in words is "eighty-seven billion, four hundred forty-five million, six hundred five thousand, five hundred sixty-four".