1159109952 has 448 divisors, whose sum is σ = 4254910464. Its totient is φ = 268738560.

The previous prime is 1159109951. The next prime is 1159109981. The reversal of 1159109952 is 2599019511.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159109951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7111023 + ... + 7111185.

It is an arithmetic number, because the mean of its divisors is an integer number (9497568).

Almost surely, 2^1159109952 is an apocalyptic number.

1159109952 is a gapful number since it is divisible by the number (12) 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 1159109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127455232).

1159109952 is an abundant number, since it is smaller than the sum of its proper divisors (3095800512).

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

1159109952 is a wasteful number, since it uses less digits than its factorization.

1159109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 42.

The square root of 1159109952 is about 34045.7038699452. The cubic root of 1159109952 is about 1050.4487732450.

It can be divided in two parts, 1159 and 109952, that added together give a palindrome (111111).

The spelling of 1159109952 in words is "one billion, one hundred fifty-nine million, one hundred nine thousand, nine hundred fifty-two".