1127082153792 has 336 divisors, whose sum is σ = 3736552660992. Its totient is φ = 298084469760.

The previous prime is 1127082153787. The next prime is 1127082153809. The reversal of 1127082153792 is 2973512807211.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6623893 + ... + 6791915.

Almost surely, 2^{1127082153792} is an apocalyptic number.

1127082153792 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 1127082153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868276330496).

1127082153792 is an abundant number, since it is smaller than the sum of its proper divisors (2609470507200).

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

1127082153792 is a wasteful number, since it uses less digits than its factorization.

1127082153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168106 (or 168089 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 1127082153792 in words is "one trillion, one hundred twenty-seven billion, eighty-two million, one hundred fifty-three thousand, seven hundred ninety-two".