10075516167912 has 256 divisors, whose sum is σ = 28634303900160. Its totient is φ = 2931151601664.

The previous prime is 10075516167853. The next prime is 10075516167919. The reversal of 10075516167912 is 21976161557001.

It is a super-2 number, since 2×10075516167912² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10075516167919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217416808 + ... + 217463144.

It is an arithmetic number, because the mean of its divisors is an integer number (111852749610).

Almost surely, 2^{10075516167912} is an apocalyptic number.

10075516167912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075516167912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317151950080).

10075516167912 is an abundant number, since it is smaller than the sum of its proper divisors (18558787732248).

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

10075516167912 is a wasteful number, since it uses less digits than its factorization.

10075516167912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46732 (or 46728 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 51.

The spelling of 10075516167912 in words is "ten trillion, seventy-five billion, five hundred sixteen million, one hundred sixty-seven thousand, nine hundred twelve".