5785097679729 has 45 divisors (see below), whose sum is σ = 8696309446363. Its totient is φ = 3832617020688.

The previous prime is 5785097679709. The next prime is 5785097679737. The reversal of 5785097679729 is 9279767905875.

The square root of 5785097679729 is 2405223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5050559549025 + 734538130704 = 2247345^2 + 857052^2 .

It is not a de Polignac number, because 5785097679729 - 2³¹ = 5782950196081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5785097679709) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3874813507 + ... + 3874814999.

Almost surely, 2^{5785097679729} is an apocalyptic number.

5785097679729 is the 2405223-rd square number.

5785097679729 is the 1202612-nd centered octagonal number.

It is an amenable number.

5785097679729 is a deficient number, since it is larger than the sum of its proper divisors (2911211766634).

5785097679729 is an frugal number, since it uses more digits than its factorization.

5785097679729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 4200789600, while the sum is 81.

Multiplying 5785097679729 by its sum of digits (81), we get a square (468592912058049 = 21647007²).

5785097679729 divided by its sum of digits (81) gives a square (71420959009 = 267247²).

The spelling of 5785097679729 in words is "five trillion, seven hundred eighty-five billion, ninety-seven million, six hundred seventy-nine thousand, seven hundred twenty-nine".