127342375600000 has 1536 divisors, whose sum is σ = 371740388342400. Its totient is φ = 43008000000000.

The previous prime is 127342375599917. The next prime is 127342375600049. The reversal of 127342375600000 is 6573243721.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 528391599880 + ... + 528391600120.

Almost surely, 2^{127342375600000} is an apocalyptic number.

127342375600000 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 127342375600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185870194171200).

127342375600000 is an abundant number, since it is smaller than the sum of its proper divisors (244398012742400).

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

127342375600000 is a wasteful number, since it uses less digits than its factorization.

127342375600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

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

The spelling of 127342375600000 in words is "one hundred twenty-seven trillion, three hundred forty-two billion, three hundred seventy-five million, six hundred thousand".