282325155840 has 912 divisors, whose sum is σ = 1209165205248. Its totient is φ = 59341012992.

The previous prime is 282325155809. The next prime is 282325155911. The reversal of 282325155840 is 48551523282.

282325155840 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 2 + 51 + 558 + 40 = 666.

It is a super-2 number, since 2×282325155840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1073479549 + ... + 1073479811.

Almost surely, 2^282325155840 is an apocalyptic number.

282325155840 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 282325155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604582602624).

282325155840 is an abundant number, since it is smaller than the sum of its proper divisors (926840049408).

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

282325155840 is an equidigital number, since it uses as much as digits as its factorization.

282325155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 282325155840 in words is "two hundred eighty-two billion, three hundred twenty-five million, one hundred fifty-five thousand, eight hundred forty".