282812497920 has 360 divisors, whose sum is σ = 1016768922624. Its totient is φ = 75411357696.

The previous prime is 282812497901. The next prime is 282812497927. The reversal of 282812497920 is 29794218282.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (282812497927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19899457 + ... + 19913663.

Almost surely, 2^282812497920 is an apocalyptic number.

282812497920 is a gapful number since it is divisible by the number (20) 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 282812497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508384461312).

282812497920 is an abundant number, since it is smaller than the sum of its proper divisors (733956424704).

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

282812497920 is an frugal number, since it uses more digits than its factorization.

282812497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 282812497920 in words is "two hundred eighty-two billion, eight hundred twelve million, four hundred ninety-seven thousand, nine hundred twenty".