1150559047680 has 624 divisors, whose sum is σ = 4358695046784. Its totient is φ = 253836656640.

The previous prime is 1150559047663. The next prime is 1150559047717. The reversal of 1150559047680 is 867409550511.

It is a super-2 number, since 2×1150559047680² (a number of 25 digits) contains 22 as substring.

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, 361695690 + ... + 361698870.

It is an arithmetic number, because the mean of its divisors is an integer number (6985088216).

Almost surely, 2^{1150559047680} is an apocalyptic number.

1150559047680 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 1150559047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179347523392).

1150559047680 is an abundant number, since it is smaller than the sum of its proper divisors (3208135999104).

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

1150559047680 is an equidigital number, since it uses as much as digits as its factorization.

1150559047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 1150559047680 in words is "one trillion, one hundred fifty billion, five hundred fifty-nine million, forty-seven thousand, six hundred eighty".