1121558218560 has 392 divisors, whose sum is σ = 4312263658920. Its totient is φ = 276075122688.

The previous prime is 1121558218553. The next prime is 1121558218591. The reversal of 1121558218560 is 658128551211.

1121558218560 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 5 + 5 + 82 + 1 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38976235776 + 1082581982784 = 197424^2 + 1040472^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2847726 + ... + 3217554.

Almost surely, 2^{1121558218560} is an apocalyptic number.

1121558218560 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 1121558218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156131829460).

1121558218560 is an abundant number, since it is smaller than the sum of its proper divisors (3190705440360).

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

1121558218560 is an equidigital number, since it uses as much as digits as its factorization.

1121558218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369877 (or 369852 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 45.

The spelling of 1121558218560 in words is "one trillion, one hundred twenty-one billion, five hundred fifty-eight million, two hundred eighteen thousand, five hundred sixty".