87535185088575 has 192 divisors, whose sum is σ = 168567131013120. Its totient is φ = 39255753600000.

The previous prime is 87535185088553. The next prime is 87535185088601. The reversal of 87535185088575 is 57588058153578.

It is a Cunningham number, because it is equal to 9356024²-1.

It is not a de Polignac number, because 87535185088575 - 2¹¹ = 87535185086527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 87535185088497 and 87535185088506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10562948082 + ... + 10562956368.

It is an arithmetic number, because the mean of its divisors is an integer number (877953807360).

Almost surely, 2^{87535185088575} is an apocalyptic number.

87535185088575 is a deficient number, since it is larger than the sum of its proper divisors (81031945924545).

87535185088575 is a wasteful number, since it uses less digits than its factorization.

87535185088575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 1881600000, while the sum is 75.

The spelling of 87535185088575 in words is "eighty-seven trillion, five hundred thirty-five billion, one hundred eighty-five million, eighty-eight thousand, five hundred seventy-five".