1005683216880 has 80 divisors (see below), whose sum is σ = 3118240419840. Its totient is φ = 268128647424.

The previous prime is 1005683216861. The next prime is 1005683216933. The reversal of 1005683216880 is 886123865001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1005683216880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793569 + ... + 1625151.

It is an arithmetic number, because the mean of its divisors is an integer number (38978005248).

Almost surely, 2^{1005683216880} is an apocalyptic number.

1005683216880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005683216880 is an abundant number, since it is smaller than the sum of its proper divisors (2112557202960).

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

1005683216880 is a wasteful number, since it uses less digits than its factorization.

1005683216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836638 (or 836632 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1005683216880 in words is "one trillion, five billion, six hundred eighty-three million, two hundred sixteen thousand, eight hundred eighty".