127197045360 has 1280 divisors, whose sum is σ = 584602583040. Its totient is φ = 24634368000.

The previous prime is 127197045343. The next prime is 127197045421. The reversal of 127197045360 is 63540791721.

127197045360 is a `hidden beast` number, since 1 + 2 + 7 + 197 + 0 + 453 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 156839355 + ... + 156840165.

It is an arithmetic number, because the mean of its divisors is an integer number (456720768).

Almost surely, 2^127197045360 is an apocalyptic number.

127197045360 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 127197045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292301291520).

127197045360 is an abundant number, since it is smaller than the sum of its proper divisors (457405537680).

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

127197045360 is a wasteful number, since it uses less digits than its factorization.

127197045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 127197045360 in words is "one hundred twenty-seven billion, one hundred ninety-seven million, forty-five thousand, three hundred sixty".