5759105352 has 768 divisors, whose sum is σ = 21736243200. Its totient is φ = 1231718400.

The previous prime is 5759105347. The next prime is 5759105353. The reversal of 5759105352 is 2535019575.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5759105353) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155651478 + ... + 155651514.

It is an arithmetic number, because the mean of its divisors is an integer number (28302400).

Almost surely, 2^5759105352 is an apocalyptic number.

5759105352 is a gapful number since it is divisible by the number (52) 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 5759105352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868121600).

5759105352 is an abundant number, since it is smaller than the sum of its proper divisors (15977137848).

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

5759105352 is a wasteful number, since it uses less digits than its factorization.

5759105352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 42.

The square root of 5759105352 is about 75888.7696039407. The cubic root of 5759105352 is about 1792.4690864148.

It can be divided in two parts, 5759 and 105352, that added together give a palindrome (111111).

The spelling of 5759105352 in words is "five billion, seven hundred fifty-nine million, one hundred five thousand, three hundred fifty-two".