1152445881600 has 2592 divisors, whose sum is σ = 5046410342400. Its totient is φ = 256197427200.

The previous prime is 1152445881589. The next prime is 1152445881649. The reversal of 1152445881600 is 61885442511.

1152445881600 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 4 + 588 + 1 + 60 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17200684767 + ... + 17200684833.

Almost surely, 2^{1152445881600} is an apocalyptic number.

1152445881600 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 1152445881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523205171200).

1152445881600 is an abundant number, since it is smaller than the sum of its proper divisors (3893964460800).

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

1152445881600 is a wasteful number, since it uses less digits than its factorization.

1152445881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1152445881600 in words is "one trillion, one hundred fifty-two billion, four hundred forty-five million, eight hundred eighty-one thousand, six hundred".