1153985280 has 216 divisors, whose sum is σ = 4287960432. Its totient is φ = 263725056.

The previous prime is 1153985257. The next prime is 1153985291. The reversal of 1153985280 is 825893511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185094 + ... + 191226.

Almost surely, 2^1153985280 is an apocalyptic number.

1153985280 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 1153985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143980216).

1153985280 is an abundant number, since it is smaller than the sum of its proper divisors (3133975152).

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

1153985280 is an equidigital number, since it uses as much as digits as its factorization.

1153985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 1153985280 is about 33970.3588441453. The cubic root of 1153985280 is about 1048.8984002244.

The spelling of 1153985280 in words is "one billion, one hundred fifty-three million, nine hundred eighty-five thousand, two hundred eighty".