127907164000 has 576 divisors, whose sum is σ = 415770001920. Its totient is φ = 37749888000.

The previous prime is 127907163931. The next prime is 127907164009. The reversal of 127907164000 is 461709721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127907164009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64371007 + ... + 64372993.

It is an arithmetic number, because the mean of its divisors is an integer number (721822920).

Almost surely, 2^127907164000 is an apocalyptic number.

127907164000 is a gapful number since it is divisible by the number (10) 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 127907164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207885000960).

127907164000 is an abundant number, since it is smaller than the sum of its proper divisors (287862837920).

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

127907164000 is a wasteful number, since it uses less digits than its factorization.

127907164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 127907164000 in words is "one hundred twenty-seven billion, nine hundred seven million, one hundred sixty-four thousand".