1130553529600 has 864 divisors, whose sum is σ = 3362913009792. Its totient is φ = 374685696000.

The previous prime is 1130553529597. The next prime is 1130553529657. The reversal of 1130553529600 is 69253550311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5358073495 + ... + 5358073705.

It is an arithmetic number, because the mean of its divisors is an integer number (3892260428).

Almost surely, 2^{1130553529600} is an apocalyptic number.

1130553529600 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 1130553529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681456504896).

1130553529600 is an abundant number, since it is smaller than the sum of its proper divisors (2232359480192).

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

1130553529600 is a wasteful number, since it uses less digits than its factorization.

1130553529600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 40.

The spelling of 1130553529600 in words is "one trillion, one hundred thirty billion, five hundred fifty-three million, five hundred twenty-nine thousand, six hundred".