1311189880 has 288 divisors, whose sum is σ = 4030538400. Its totient is φ = 375598080.

The previous prime is 1311189871. The next prime is 1311189899. The reversal of 1311189880 is 889811131.

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 71 ways as a sum of consecutive naturals, for example, 5725606 + ... + 5725834.

It is an arithmetic number, because the mean of its divisors is an integer number (13994925).

Almost surely, 2^1311189880 is an apocalyptic number.

1311189880 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 1311189880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015269200).

1311189880 is an abundant number, since it is smaller than the sum of its proper divisors (2719348520).

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

1311189880 is a wasteful number, since it uses less digits than its factorization.

1311189880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 40.

The square root of 1311189880 is about 36210.3559772615. The cubic root of 1311189880 is about 1094.5153655579.

It can be divided in two parts, 1311 and 189880, that added together give a palindrome (191191).

The spelling of 1311189880 in words is "one billion, three hundred eleven million, one hundred eighty-nine thousand, eight hundred eighty".