127342375600 has 480 divisors, whose sum is σ = 358666418880. Its totient is φ = 43008000000.

The previous prime is 127342375561. The next prime is 127342375607. The reversal of 127342375600 is 6573243721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (127342375607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528391480 + ... + 528391720.

It is an arithmetic number, because the mean of its divisors is an integer number (747221706).

Almost surely, 2^127342375600 is an apocalyptic number.

127342375600 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 127342375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179333209440).

127342375600 is an abundant number, since it is smaller than the sum of its proper divisors (231324043280).

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

127342375600 is a wasteful number, since it uses less digits than its factorization.

127342375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 127342375600 in words is "one hundred twenty-seven billion, three hundred forty-two million, three hundred seventy-five thousand, six hundred".