5782146866496 has 1008 divisors, whose sum is σ = 23204278476288. Its totient is φ = 1386280396800.

The previous prime is 5782146866407. The next prime is 5782146866543. The reversal of 5782146866496 is 6946686412875.

It is a happy number.

5782146866496 is a `hidden beast` number, since 5 + 7 + 8 + 2 + 14 + 68 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202363891 + ... + 202392461.

It is an arithmetic number, because the mean of its divisors is an integer number (23020117536).

Almost surely, 2^{5782146866496} is an apocalyptic number.

5782146866496 is a gapful number since it is divisible by the number (56) 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 5782146866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602139238144).

5782146866496 is an abundant number, since it is smaller than the sum of its proper divisors (17422131609792).

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

5782146866496 is a wasteful number, since it uses less digits than its factorization.

5782146866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28642 (or 28607 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 5782146866496 in words is "five trillion, seven hundred eighty-two billion, one hundred forty-six million, eight hundred sixty-six thousand, four hundred ninety-six".