10075035582552 has 64 divisors (see below), whose sum is σ = 26076437568000. Its totient is φ = 3240012589184.

The previous prime is 10075035582551. The next prime is 10075035582571. The reversal of 10075035582552 is 25528553057001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075035582551) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4748352 + ... + 6534287.

It is an arithmetic number, because the mean of its divisors is an integer number (407444337000).

Almost surely, 2^{10075035582552} is an apocalyptic number.

10075035582552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10075035582552 is an abundant number, since it is smaller than the sum of its proper divisors (16001401985448).

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

10075035582552 is a wasteful number, since it uses less digits than its factorization.

10075035582552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283960 (or 11283956 counting only the distinct ones).

The product of its (nonzero) digits is 2100000, while the sum is 48.

The spelling of 10075035582552 in words is "ten trillion, seventy-five billion, thirty-five million, five hundred eighty-two thousand, five hundred fifty-two".