127752992640 has 2048 divisors, whose sum is σ = 607025664000. Its totient is φ = 24938938368.

The previous prime is 127752992593. The next prime is 127752992681. The reversal of 127752992640 is 46299257721.

127752992640 is a `hidden beast` number, since 1 + 2 + 77 + 529 + 9 + 2 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 2165304931 + ... + 2165304989.

It is an arithmetic number, because the mean of its divisors is an integer number (296399250).

Almost surely, 2^127752992640 is an apocalyptic number.

127752992640 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 127752992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303512832000).

127752992640 is an abundant number, since it is smaller than the sum of its proper divisors (479272671360).

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

127752992640 is an equidigital number, since it uses as much as digits as its factorization.

127752992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 127752992640 in words is "one hundred twenty-seven billion, seven hundred fifty-two million, nine hundred ninety-two thousand, six hundred forty".