1127531765760 has 224 divisors, whose sum is σ = 3636340273152. Its totient is φ = 298303488000.

The previous prime is 1127531765719. The next prime is 1127531765777. The reversal of 1127531765760 is 675671357211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15569635 + ... + 15641885.

Almost surely, 2^{1127531765760} is an apocalyptic number.

1127531765760 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 1127531765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818170136576).

1127531765760 is an abundant number, since it is smaller than the sum of its proper divisors (2508808507392).

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

1127531765760 is an equidigital number, since it uses as much as digits as its factorization.

1127531765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72412 (or 72388 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 1127531765760 in words is "one trillion, one hundred twenty-seven billion, five hundred thirty-one million, seven hundred sixty-five thousand, seven hundred sixty".