87205947552 has 72 divisors (see below), whose sum is σ = 248052400596. Its totient is φ = 29061559296.

The previous prime is 87205947467. The next prime is 87205947559. The reversal of 87205947552 is 25574950278.

87205947552 is a `hidden beast` number, since 8 + 72 + 0 + 59 + 475 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83241482256 + 3964465296 = 288516^2 + 62964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (87205947559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1220068 + ... + 1289564.

Almost surely, 2^87205947552 is an apocalyptic number.

It is an amenable number.

87205947552 is an abundant number, since it is smaller than the sum of its proper divisors (160846453044).

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

87205947552 is a wasteful number, since it uses less digits than its factorization.

87205947552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73870 (or 73859 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 87205947552 in words is "eighty-seven billion, two hundred five million, nine hundred forty-seven thousand, five hundred fifty-two".