282379426560 has 2160 divisors, whose sum is σ = 1331703217152. Its totient is φ = 56435097600.

The previous prime is 282379426543. The next prime is 282379426631. The reversal of 282379426560 is 65624973282.

282379426560 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 79 + 4 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 282379426497 and 282379426506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1732389039 + ... + 1732389201.

Almost surely, 2^282379426560 is an apocalyptic number.

282379426560 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 282379426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665851608576).

282379426560 is an abundant number, since it is smaller than the sum of its proper divisors (1049323790592).

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

282379426560 is a wasteful number, since it uses less digits than its factorization.

282379426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 282379426560 in words is "two hundred eighty-two billion, three hundred seventy-nine million, four hundred twenty-six thousand, five hundred sixty".