1127992638096 has 240 divisors, whose sum is σ = 3377988556800. Its totient is φ = 350344320768.

The previous prime is 1127992638043. The next prime is 1127992638107. The reversal of 1127992638096 is 6908362997211.

1127992638096 is a `hidden beast` number, since 1 + 12 + 79 + 92 + 6 + 380 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56835951 + ... + 56855793.

It is an arithmetic number, because the mean of its divisors is an integer number (14074952320).

Almost surely, 2^{1127992638096} is an apocalyptic number.

1127992638096 is a gapful number since it is divisible by the number (16) 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 1127992638096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688994278400).

1127992638096 is an abundant number, since it is smaller than the sum of its proper divisors (2249995918704).

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

1127992638096 is a wasteful number, since it uses less digits than its factorization.

1127992638096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20218 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1127992638096 in words is "one trillion, one hundred twenty-seven billion, nine hundred ninety-two million, six hundred thirty-eight thousand, ninety-six".