127545665040 has 320 divisors, whose sum is σ = 449799782400. Its totient is φ = 33625912320.

The previous prime is 127545664973. The next prime is 127545665059. The reversal of 127545665040 is 40566545721.

127545665040 is a `hidden beast` number, since 1 + 2 + 7 + 545 + 6 + 65 + 0 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 15567345 + ... + 15575535.

It is an arithmetic number, because the mean of its divisors is an integer number (1405624320).

Almost surely, 2^127545665040 is an apocalyptic number.

127545665040 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 127545665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224899891200).

127545665040 is an abundant number, since it is smaller than the sum of its proper divisors (322254117360).

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

127545665040 is an frugal number, since it uses more digits than its factorization.

127545665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 127545665040 in words is "one hundred twenty-seven billion, five hundred forty-five million, six hundred sixty-five thousand, forty".