5785267674528 has 288 divisors, whose sum is σ = 17122535539200. Its totient is φ = 1850862182400.

The previous prime is 5785267674493. The next prime is 5785267674569. The reversal of 5785267674528 is 8254767625875.

It is a happy number.

5785267674528 is a `hidden beast` number, since 5 + 7 + 8 + 5 + 26 + 7 + 6 + 74 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5785267674528² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1639348668 + ... + 1639352196.

It is an arithmetic number, because the mean of its divisors is an integer number (59453248400).

Almost surely, 2^{5785267674528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785267674528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561267769600).

5785267674528 is an abundant number, since it is smaller than the sum of its proper divisors (11337267864672).

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

5785267674528 is a wasteful number, since it uses less digits than its factorization.

5785267674528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5025 counting only the distinct ones).

The product of its digits is 1580544000, while the sum is 72.

The spelling of 5785267674528 in words is "five trillion, seven hundred eighty-five billion, two hundred sixty-seven million, six hundred seventy-four thousand, five hundred twenty-eight".