1153205200000 has 576 divisors, whose sum is σ = 3537910512360. Its totient is φ = 372019200000.

The previous prime is 1153205199989. The next prime is 1153205200001. The reversal of 1153205200000 is 25023511.

It can be written as a sum of positive squares in 12 ways, for example, as 549650235456 + 603554964544 = 741384^2 + 776888^2 .

It is not an unprimeable number, because it can be changed into a prime (1153205200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333198270 + ... + 333201730.

Almost surely, 2^{1153205200000} is an apocalyptic number.

1153205200000 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 1153205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768955256180).

1153205200000 is an abundant number, since it is smaller than the sum of its proper divisors (2384705312360).

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

1153205200000 is an frugal number, since it uses more digits than its factorization.

1153205200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 1153205200000 in words is "one trillion, one hundred fifty-three billion, two hundred five million, two hundred thousand".