127248792720 has 640 divisors, whose sum is σ = 491109519360. Its totient is φ = 26605117440.

The previous prime is 127248792719. The next prime is 127248792721. The reversal of 127248792720 is 27297842721.

It is an interprime number because it is at equal distance from previous prime (127248792719) and next prime (127248792721).

It is not an unprimeable number, because it can be changed into a prime (127248792721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192509190 + ... + 192509850.

It is an arithmetic number, because the mean of its divisors is an integer number (767358624).

Almost surely, 2^127248792720 is an apocalyptic number.

127248792720 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 127248792720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245554759680).

127248792720 is an abundant number, since it is smaller than the sum of its proper divisors (363860726640).

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

127248792720 is a wasteful number, since it uses less digits than its factorization.

127248792720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 127248792720 in words is "one hundred twenty-seven billion, two hundred forty-eight million, seven hundred ninety-two thousand, seven hundred twenty".