16167127977120 has 96 divisors (see below), whose sum is σ = 53606792796480. Its totient is φ = 4084327065600.

The previous prime is 16167127977079. The next prime is 16167127977127. The reversal of 16167127977120 is 2177972176161.

16167127977120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16167127977120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (16167127977127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886346581 + ... + 886364820.

It is an arithmetic number, because the mean of its divisors is an integer number (558404091630).

Almost surely, 2^{16167127977120} is an apocalyptic number.

16167127977120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16167127977120 is an abundant number, since it is smaller than the sum of its proper divisors (37439664819360).

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

16167127977120 is a wasteful number, since it uses less digits than its factorization.

16167127977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772711438 (or 1772711430 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 57.

The spelling of 16167127977120 in words is "sixteen trillion, one hundred sixty-seven billion, one hundred twenty-seven million, nine hundred seventy-seven thousand, one hundred twenty".