282765124592496 has 960 divisors, whose sum is σ = 1065979612938240. Its totient is φ = 67831828807680.

The previous prime is 282765124592443. The next prime is 282765124592497. The reversal of 282765124592496 is 694295421567282.

It is a happy number.

282765124592496 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 6 + 5 + 1 + 2 + 45 + 92 + 496 = 666.

It is a super-2 number, since 2×282765124592496² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282765124592497) 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, 5130987790 + ... + 5131042898.

It is an arithmetic number, because the mean of its divisors is an integer number (1110395430144).

Almost surely, 2^{282765124592496} is an apocalyptic number.

282765124592496 is a gapful number since it is divisible by the number (26) 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 282765124592496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532989806469120).

282765124592496 is an abundant number, since it is smaller than the sum of its proper divisors (783214488345744).

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

282765124592496 is a wasteful number, since it uses less digits than its factorization.

282765124592496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55934 (or 55925 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 282765124592496 in words is "two hundred eighty-two trillion, seven hundred sixty-five billion, one hundred twenty-four million, five hundred ninety-two thousand, four hundred ninety-six".