127816745232000 has 512 divisors, whose sum is σ = 462635620761600. Its totient is φ = 30958809600000.

The previous prime is 127816745231983. The next prime is 127816745232079. The reversal of 127816745232000 is 232547618721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607622841 + ... + 607833159.

It is an arithmetic number, because the mean of its divisors is an integer number (903585196800).

Almost surely, 2^{127816745232000} is an apocalyptic number.

127816745232000 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 127816745232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231317810380800).

127816745232000 is an abundant number, since it is smaller than the sum of its proper divisors (334818875529600).

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

127816745232000 is a wasteful number, since it uses less digits than its factorization.

127816745232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211513 (or 211491 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 127816745232000 in words is "one hundred twenty-seven trillion, eight hundred sixteen billion, seven hundred forty-five million, two hundred thirty-two thousand".