1123557868800 has 540 divisors, whose sum is σ = 4160559761820. Its totient is φ = 299164631040.

The previous prime is 1123557868753. The next prime is 1123557868841. The reversal of 1123557868800 is 88687553211.

1123557868800 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 5 + 578 + 68 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 302112923904 + 821444944896 = 549648^2 + 906336^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 481592434 + ... + 481594766.

Almost surely, 2^{1123557868800} is an apocalyptic number.

1123557868800 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 1123557868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080279880910).

1123557868800 is an abundant number, since it is smaller than the sum of its proper divisors (3037001893020).

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

1123557868800 is an equidigital number, since it uses as much as digits as its factorization.

1123557868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1123557868800 in words is "one trillion, one hundred twenty-three billion, five hundred fifty-seven million, eight hundred sixty-eight thousand, eight hundred".