10172058864 has 80 divisors (see below), whose sum is σ = 28793335680. Its totient is φ = 3068826880.

The previous prime is 10172058863. The next prime is 10172058901. The reversal of 10172058864 is 46885027101.

10172058864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172058863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77422 + ... + 162290.

It is an arithmetic number, because the mean of its divisors is an integer number (359916696).

Almost surely, 2^10172058864 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 10172058864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396667840).

10172058864 is an abundant number, since it is smaller than the sum of its proper divisors (18621276816).

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

10172058864 is a wasteful number, since it uses less digits than its factorization.

10172058864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85118 (or 85112 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10172058864 in words is "ten billion, one hundred seventy-two million, fifty-eight thousand, eight hundred sixty-four".