127160953920 has 2240 divisors, whose sum is σ = 631989388800. Its totient is φ = 23549460480.

The previous prime is 127160953919. The next prime is 127160953961. The reversal of 127160953920 is 29359061721.

It is a happy number.

127160953920 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 609 + 5 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4384860466 + ... + 4384860494.

It is an arithmetic number, because the mean of its divisors is an integer number (282138120).

Almost surely, 2^127160953920 is an apocalyptic number.

127160953920 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 127160953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315994694400).

127160953920 is an abundant number, since it is smaller than the sum of its proper divisors (504828434880).

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

127160953920 is a wasteful number, since it uses less digits than its factorization.

127160953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 127160953920 in words is "one hundred twenty-seven billion, one hundred sixty million, nine hundred fifty-three thousand, nine hundred twenty".