5765165952 has 480 divisors, whose sum is σ = 19867717080. Its totient is φ = 1479389184.

The previous prime is 5765165927. The next prime is 5765165969. The reversal of 5765165952 is 2595615675.

Its product of digits (2835000) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 5765165895 and 5765165904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 155815278 + ... + 155815314.

Almost surely, 2^5765165952 is an apocalyptic number.

5765165952 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 5765165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933858540).

5765165952 is an abundant number, since it is smaller than the sum of its proper divisors (14102551128).

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

5765165952 is an equidigital number, since it uses as much as digits as its factorization.

5765165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its digits is 2835000, while the sum is 51.

The square root of 5765165952 is about 75928.6899136288. The cubic root of 5765165952 is about 1793.0976348317.

The spelling of 5765165952 in words is "five billion, seven hundred sixty-five million, one hundred sixty-five thousand, nine hundred fifty-two".