10075952512 has 64 divisors (see below), whose sum is σ = 20230161840. Its totient is φ = 4998758400.

The previous prime is 10075952507. The next prime is 10075952519. The reversal of 10075952512 is 21525957001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10075952512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075952519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16765012 + ... + 16765612.

Almost surely, 2^10075952512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10115080920).

10075952512 is an abundant number, since it is smaller than the sum of its proper divisors (10154209328).

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

10075952512 is an equidigital number, since it uses as much as digits as its factorization.

10075952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 10075952512 in words is "ten billion, seventy-five million, nine hundred fifty-two thousand, five hundred twelve".