127738978992 has 100 divisors (see below), whose sum is σ = 369834796320. Its totient is φ = 42565709952.

The previous prime is 127738978967. The next prime is 127738979009. The reversal of 127738978992 is 299879837721.

It is a happy number.

127738978992 is a `hidden beast` number, since 12 + 77 + 389 + 7 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 127738978992.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4408809 + ... + 4437687.

Almost surely, 2^127738978992 is an apocalyptic number.

127738978992 is a gapful number since it is divisible by the number (12) 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 127738978992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184917398160).

127738978992 is an abundant number, since it is smaller than the sum of its proper divisors (242095817328).

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

127738978992 is a wasteful number, since it uses less digits than its factorization.

127738978992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32312 (or 32297 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 72.

The spelling of 127738978992 in words is "one hundred twenty-seven billion, seven hundred thirty-eight million, nine hundred seventy-eight thousand, nine hundred ninety-two".