1005884053680 has 80 divisors (see below), whose sum is σ = 3401716990464. Its totient is φ = 243850679040.

The previous prime is 1005884053651. The next prime is 1005884053703. The reversal of 1005884053680 is 863504885001.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190505704 + ... + 190510983.

Almost surely, 2^{1005884053680} is an apocalyptic number.

1005884053680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005884053680 is an abundant number, since it is smaller than the sum of its proper divisors (2395832936784).

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

1005884053680 is a wasteful number, since it uses less digits than its factorization.

1005884053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381016714 (or 381016708 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 1005884053680 in words is "one trillion, five billion, eight hundred eighty-four million, fifty-three thousand, six hundred eighty".