8283545655840 has 2880 divisors, whose sum is σ = 38750715765216. Its totient is φ = 1595009138688.

The previous prime is 8283545655773. The next prime is 8283545655871. The reversal of 8283545655840 is 485565453828.

8283545655840 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 5 + 45 + 6 + 5 + 584 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4074762108816 + 4208783547024 = 2018604^2 + 2051532^2 .

It is a super-2 number, since 2×8283545655840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 28271486734 + ... + 28271487026.

Almost surely, 2^{8283545655840} is an apocalyptic number.

8283545655840 is a gapful number since it is divisible by the number (80) 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 8283545655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375357882608).

8283545655840 is an abundant number, since it is smaller than the sum of its proper divisors (30467170109376).

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

8283545655840 is a wasteful number, since it uses less digits than its factorization.

8283545655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 184320000, while the sum is 63.

The spelling of 8283545655840 in words is "eight trillion, two hundred eighty-three billion, five hundred forty-five million, six hundred fifty-five thousand, eight hundred forty".