1153680000 has 640 divisors, whose sum is σ = 4588531200. Its totient is φ = 253440000.

The previous prime is 1153679999. The next prime is 1153680029. The reversal of 1153680000 is 863511.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50159989 + ... + 50160011.

It is an arithmetic number, because the mean of its divisors is an integer number (7169580).

Almost surely, 2^1153680000 is an apocalyptic number.

1153680000 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 1153680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294265600).

1153680000 is an abundant number, since it is smaller than the sum of its proper divisors (3434851200).

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

1153680000 is a wasteful number, since it uses less digits than its factorization.

1153680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1153680000 is about 33965.8652178919. The cubic root of 1153680000 is about 1048.8058987718.

The spelling of 1153680000 in words is "one billion, one hundred fifty-three million, six hundred eighty thousand".