1135482880 has 288 divisors, whose sum is σ = 3316360320. Its totient is φ = 371589120.

The previous prime is 1135482871. The next prime is 1135482893. The reversal of 1135482880 is 882845311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 15554524 + ... + 15554596.

It is an arithmetic number, because the mean of its divisors is an integer number (11515140).

Almost surely, 2^1135482880 is an apocalyptic number.

1135482880 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 1135482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658180160).

1135482880 is an abundant number, since it is smaller than the sum of its proper divisors (2180877440).

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

1135482880 is an equidigital number, since it uses as much as digits as its factorization.

1135482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 1135482880 is about 33696.9268628461. The cubic root of 1135482880 is about 1043.2623396071.

The spelling of 1135482880 in words is "one billion, one hundred thirty-five million, four hundred eighty-two thousand, eight hundred eighty".