162800283240 has 960 divisors, whose sum is σ = 692039462400. Its totient is φ = 34096204800.

The previous prime is 162800283227. The next prime is 162800283253. The reversal of 162800283240 is 42382008261.

162800283240 is a `hidden beast` number, since 1 + 62 + 80 + 0 + 283 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (162800283227) and next prime (162800283253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 162800283195 and 162800283204.

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, 93508770 + ... + 93510510.

It is an arithmetic number, because the mean of its divisors is an integer number (720874440).

Almost surely, 2^162800283240 is an apocalyptic number.

162800283240 is a gapful number since it is divisible by the number (10) 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 162800283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346019731200).

162800283240 is an abundant number, since it is smaller than the sum of its proper divisors (529239179160).

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

162800283240 is a wasteful number, since it uses less digits than its factorization.

162800283240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 162800 and 283240, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 162800283240 in words is "one hundred sixty-two billion, eight hundred million, two hundred eighty-three thousand, two hundred forty".