127649512500 has 144 divisors (see below), whose sum is σ = 372841636608. Its totient is φ = 33989200000.

The previous prime is 127649512489. The next prime is 127649512511. The reversal of 127649512500 is 5215946721.

It is an interprime number because it is at equal distance from previous prime (127649512489) and next prime (127649512511).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29885365 + ... + 29889635.

It is an arithmetic number, because the mean of its divisors is an integer number (2589178032).

Almost surely, 2^127649512500 is an apocalyptic number.

127649512500 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 127649512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186420818304).

127649512500 is an abundant number, since it is smaller than the sum of its proper divisors (245192124108).

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

127649512500 is an equidigital number, since it uses as much as digits as its factorization.

127649512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 127649512500 in words is "one hundred twenty-seven billion, six hundred forty-nine million, five hundred twelve thousand, five hundred".