1153600000 has 240 divisors, whose sum is σ = 3324537216. Its totient is φ = 391680000.

The previous prime is 1153599971. The next prime is 1153600003. The reversal of 1153600000 is 63511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153600003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199949 + ... + 11200051.

Almost surely, 2^1153600000 is an apocalyptic number.

1153600000 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 1153600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662268608).

1153600000 is an abundant number, since it is smaller than the sum of its proper divisors (2170937216).

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

1153600000 is an frugal number, since it uses more digits than its factorization.

1153600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1153600000 is about 33964.6875445660. The cubic root of 1153600000 is about 1048.7816556508.

Adding to 1153600000 its reverse (63511), we get a palindrome (1153663511).

The spelling of 1153600000 in words is "one billion, one hundred fifty-three million, six hundred thousand".