10095144752 has 80 divisors (see below), whose sum is σ = 25669190400. Its totient is φ = 3726155520.

The previous prime is 10095144679. The next prime is 10095144769. The reversal of 10095144752 is 25744159001.

It is a super-3 number, since 3×10095144752³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 15 ways as a sum of consecutive naturals, for example, 192227 + ... + 239042.

It is an arithmetic number, because the mean of its divisors is an integer number (320864880).

Almost surely, 2^10095144752 is an apocalyptic number.

It is an amenable number.

10095144752 is an abundant number, since it is smaller than the sum of its proper divisors (15574045648).

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

10095144752 is a wasteful number, since it uses less digits than its factorization.

10095144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431314 (or 431308 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 10095144752 in words is "ten billion, ninety-five million, one hundred forty-four thousand, seven hundred fifty-two".