1127160243760 has 160 divisors (see below), whose sum is σ = 2782345489920. Its totient is φ = 423789594624.

The previous prime is 1127160243757. The next prime is 1127160243779. The reversal of 1127160243760 is 673420617211.

It is a super-2 number, since 2×1127160243760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26671767 + ... + 26713993.

It is an arithmetic number, because the mean of its divisors is an integer number (17389659312).

Almost surely, 2^{1127160243760} is an apocalyptic number.

1127160243760 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 1127160243760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391172744960).

1127160243760 is an abundant number, since it is smaller than the sum of its proper divisors (1655185246160).

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

1127160243760 is a wasteful number, since it uses less digits than its factorization.

1127160243760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42515 (or 42509 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 1127160243760 in words is "one trillion, one hundred twenty-seven billion, one hundred sixty million, two hundred forty-three thousand, seven hundred sixty".