127565124480 has 768 divisors, whose sum is σ = 502029964800. Its totient is φ = 30809382912.

The previous prime is 127565124451. The next prime is 127565124493. The reversal of 127565124480 is 84421565721.

127565124480 is a `hidden beast` number, since 1 + 2 + 7 + 56 + 512 + 4 + 4 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67961302 + ... + 67963178.

It is an arithmetic number, because the mean of its divisors is an integer number (653684850).

Almost surely, 2^127565124480 is an apocalyptic number.

127565124480 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 127565124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251014982400).

127565124480 is an abundant number, since it is smaller than the sum of its proper divisors (374464840320).

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

127565124480 is a wasteful number, since it uses less digits than its factorization.

127565124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 127565124480 in words is "one hundred twenty-seven billion, five hundred sixty-five million, one hundred twenty-four thousand, four hundred eighty".