127678050500 has 432 divisors, whose sum is σ = 384087058992. Its totient is φ = 36723456000.

The previous prime is 127678050497. The next prime is 127678050553. The reversal of 127678050500 is 5050876721.

It can be written as a sum of positive squares in 8 ways, for example, as 34607905024 + 93070145476 = 186032^2 + 305074^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38536844 + ... + 38540156.

Almost surely, 2^127678050500 is an apocalyptic number.

127678050500 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 127678050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192043529496).

127678050500 is an abundant number, since it is smaller than the sum of its proper divisors (256409008492).

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

127678050500 is a wasteful number, since it uses less digits than its factorization.

127678050500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 127678050500 in words is "one hundred twenty-seven billion, six hundred seventy-eight million, fifty thousand, five hundred".