87924248064 has 400 divisors, whose sum is σ = 279456461856. Its totient is φ = 27426816000.

The previous prime is 87924248021. The next prime is 87924248099. The reversal of 87924248064 is 46084242978.

87924248064 is a `hidden beast` number, since 87 + 9 + 2 + 424 + 80 + 64 = 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 87924248064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219262264 + ... + 219262664.

Almost surely, 2^87924248064 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 87924248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139728230928).

87924248064 is an abundant number, since it is smaller than the sum of its proper divisors (191532213792).

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

87924248064 is a wasteful number, since it uses less digits than its factorization.

87924248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 87924248064 in words is "eighty-seven billion, nine hundred twenty-four million, two hundred forty-eight thousand, sixty-four".