1010685988575 has 72 divisors (see below), whose sum is σ = 1978566685056. Its totient is φ = 490959360000.

The previous prime is 1010685988547. The next prime is 1010685988589. The reversal of 1010685988575 is 5758895860101.

1010685988575 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 8 + 59 + 8 + 8 + 575 = 666.

It is not a de Polignac number, because 1010685988575 - 2¹⁸ = 1010685726431 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4143226 + ... + 4380375.

It is an arithmetic number, because the mean of its divisors is an integer number (27480092848).

Almost surely, 2^{1010685988575} is an apocalyptic number.

1010685988575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1010685988575 is a deficient number, since it is larger than the sum of its proper divisors (967880696481).

1010685988575 is a wasteful number, since it uses less digits than its factorization.

1010685988575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8523665 (or 8523657 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 63.

The spelling of 1010685988575 in words is "one trillion, ten billion, six hundred eighty-five million, nine hundred eighty-eight thousand, five hundred seventy-five".