10289172512895 has 48 divisors (see below), whose sum is σ = 17488901713920. Its totient is φ = 5164504551936.

The previous prime is 10289172512891. The next prime is 10289172512903. The reversal of 10289172512895 is 59821527198201.

It is a happy number.

10289172512895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10289172512895 - 2² = 10289172512891 is a prime.

It is a super-2 number, since 2×10289172512895² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289172512891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111619194 + ... + 111711336.

It is an arithmetic number, because the mean of its divisors is an integer number (364352119040).

Almost surely, 2^{10289172512895} is an apocalyptic number.

10289172512895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10289172512895 is a deficient number, since it is larger than the sum of its proper divisors (7199729201025).

10289172512895 is a wasteful number, since it uses less digits than its factorization.

10289172512895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117944 (or 117927 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 60.

The spelling of 10289172512895 in words is "ten trillion, two hundred eighty-nine billion, one hundred seventy-two million, five hundred twelve thousand, eight hundred ninety-five".