127742908392 has 288 divisors, whose sum is σ = 402084540000. Its totient is φ = 36327294720.

The previous prime is 127742908361. The next prime is 127742908417. The reversal of 127742908392 is 293809247721.

It is a happy number.

127742908392 is a `hidden beast` number, since 1 + 277 + 4 + 290 + 83 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31162359 + ... + 31166457.

It is an arithmetic number, because the mean of its divisors is an integer number (1396126875).

Almost surely, 2^127742908392 is an apocalyptic number.

127742908392 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 127742908392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201042270000).

127742908392 is an abundant number, since it is smaller than the sum of its proper divisors (274341631608).

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

127742908392 is a wasteful number, since it uses less digits than its factorization.

127742908392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 127742908392 in words is "one hundred twenty-seven billion, seven hundred forty-two million, nine hundred eight thousand, three hundred ninety-two".