1128353385600 has 288 divisors, whose sum is σ = 4601399063040. Its totient is φ = 257909299200.

The previous prime is 1128353385559. The next prime is 1128353385629. The reversal of 1128353385600 is 65833538211.

1128353385600 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 5 + 3 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2596896 + ... + 3000095.

It is an arithmetic number, because the mean of its divisors is an integer number (15977080080).

Almost surely, 2^{1128353385600} is an apocalyptic number.

1128353385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1128353385600 is an abundant number, since it is smaller than the sum of its proper divisors (3473045677440).

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

1128353385600 is a wasteful number, since it uses less digits than its factorization.

1128353385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597028 (or 5597008 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1128353385600 in words is "one trillion, one hundred twenty-eight billion, three hundred fifty-three million, three hundred eighty-five thousand, six hundred".