1016991584960 has 224 divisors, whose sum is σ = 2732329807872. Its totient is φ = 357964738560.

The previous prime is 1016991584933. The next prime is 1016991584969. The reversal of 1016991584960 is 694851996101.

It is a self number, because there is not a number n which added to its sum of digits gives 1016991584960.

It is not an unprimeable number, because it can be changed into a prime (1016991584969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8581469 + ... + 8699171.

It is an arithmetic number, because the mean of its divisors is an integer number (12197900928).

Almost surely, 2^{1016991584960} is an apocalyptic number.

1016991584960 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 1016991584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366164903936).

1016991584960 is an abundant number, since it is smaller than the sum of its proper divisors (1715338222912).

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

1016991584960 is a wasteful number, since it uses less digits than its factorization.

1016991584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117831 (or 117821 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 59.

The spelling of 1016991584960 in words is "one trillion, sixteen billion, nine hundred ninety-one million, five hundred eighty-four thousand, nine hundred sixty".