1128574771200 has 672 divisors, whose sum is σ = 4197875068800. Its totient is φ = 297206415360.

The previous prime is 1128574771189. The next prime is 1128574771201. The reversal of 1128574771200 is 21774758211.

It is a happy number.

1128574771200 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 57 + 477 + 120 + 0 = 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 (1128574771201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458955571 + ... + 458958029.

It is an arithmetic number, because the mean of its divisors is an integer number (6246837900).

Almost surely, 2^{1128574771200} is an apocalyptic number.

1128574771200 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 1128574771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098937534400).

1128574771200 is an abundant number, since it is smaller than the sum of its proper divisors (3069300297600).

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

1128574771200 is an equidigital number, since it uses as much as digits as its factorization.

1128574771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 1128574771200 in words is "one trillion, one hundred twenty-eight billion, five hundred seventy-four million, seven hundred seventy-one thousand, two hundred".