87069080434752 has 168 divisors, whose sum is σ = 269353439713176. Its totient is φ = 26731862728704.

The previous prime is 87069080434747. The next prime is 87069080434783. The reversal of 87069080434752 is 25743408096078.

87069080434752 is a `hidden beast` number, since 8 + 70 + 6 + 9 + 0 + 80 + 434 + 7 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34861750419456 + 52207330015296 = 5904384^2 + 7225464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87069080434752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9299883 + ... + 16143914.

It is an arithmetic number, because the mean of its divisors is an integer number (1603294284007).

Almost surely, 2^{87069080434752} is an apocalyptic number.

It is an amenable number.

87069080434752 is an abundant number, since it is smaller than the sum of its proper divisors (182284359278424).

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

87069080434752 is a wasteful number, since it uses less digits than its factorization.

87069080434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25444285 (or 25444272 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 87069080434752 in words is "eighty-seven trillion, sixty-nine billion, eighty million, four hundred thirty-four thousand, seven hundred fifty-two".