1153850880 has 480 divisors, whose sum is σ = 4600848384. Its totient is φ = 241532928.

The previous prime is 1153850879. The next prime is 1153850897. The reversal of 1153850880 is 880583511.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9085377 + ... + 9085503.

Almost surely, 2^1153850880 is an apocalyptic number.

1153850880 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 1153850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300424192).

1153850880 is an abundant number, since it is smaller than the sum of its proper divisors (3446997504).

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

1153850880 is a wasteful number, since it uses less digits than its factorization.

1153850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 1153850880 is about 33968.3805913676. The cubic root of 1153850880 is about 1048.8576783248.

The spelling of 1153850880 in words is "one billion, one hundred fifty-three million, eight hundred fifty thousand, eight hundred eighty".