87553581696 has 640 divisors, whose sum is σ = 326302732800. Its totient is φ = 22722674688.

The previous prime is 87553581623. The next prime is 87553581727. The reversal of 87553581696 is 69618535578.

87553581696 is a `hidden beast` number, since 8 + 7 + 5 + 535 + 8 + 1 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35778745 + ... + 35781191.

It is an arithmetic number, because the mean of its divisors is an integer number (509848020).

Almost surely, 2^87553581696 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 87553581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163151366400).

87553581696 is an abundant number, since it is smaller than the sum of its proper divisors (238749151104).

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

87553581696 is a wasteful number, since it uses less digits than its factorization.

87553581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2505 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 87553581696 in words is "eighty-seven billion, five hundred fifty-three million, five hundred eighty-one thousand, six hundred ninety-six".