87856616652 has 192 divisors, whose sum is σ = 242771558400. Its totient is φ = 24210561024.

The previous prime is 87856616597. The next prime is 87856616693. The reversal of 87856616652 is 25661665878.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146671849 + ... + 146672447.

It is an arithmetic number, because the mean of its divisors is an integer number (1264435200).

Almost surely, 2^87856616652 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 87856616652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121385779200).

87856616652 is an abundant number, since it is smaller than the sum of its proper divisors (154914941748).

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

87856616652 is a wasteful number, since it uses less digits than its factorization.

87856616652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 87856616652 in words is "eighty-seven billion, eight hundred fifty-six million, six hundred sixteen thousand, six hundred fifty-two".