1127516150880 has 576 divisors, whose sum is σ = 4571048401920. Its totient is φ = 257103673344.

The previous prime is 1127516150809. The next prime is 1127516150881. The reversal of 1127516150880 is 880516157211.

1127516150880 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 5 + 1 + 61 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127516150881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119473522 + ... + 119482958.

It is an arithmetic number, because the mean of its divisors is an integer number (7935847920).

Almost surely, 2^{1127516150880} is an apocalyptic number.

1127516150880 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 1127516150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285524200960).

1127516150880 is an abundant number, since it is smaller than the sum of its proper divisors (3443532251040).

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

1127516150880 is an equidigital number, since it uses as much as digits as its factorization.

1127516150880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 1127516150880 in words is "one trillion, one hundred twenty-seven billion, five hundred sixteen million, one hundred fifty thousand, eight hundred eighty".