1021688819712 has 832 divisors, whose sum is σ = 3532850380800. Its totient is φ = 288353157120.

The previous prime is 1021688819707. The next prime is 1021688819777. The reversal of 1021688819712 is 2179188861201.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2626449214 + ... + 2626449602.

It is an arithmetic number, because the mean of its divisors is an integer number (4246214400).

Almost surely, 2^{1021688819712} is an apocalyptic number.

1021688819712 is a gapful number since it is divisible by the number (12) 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 1021688819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766425190400).

1021688819712 is an abundant number, since it is smaller than the sum of its proper divisors (2511161561088).

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

1021688819712 is a wasteful number, since it uses less digits than its factorization.

1021688819712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 1021688819712 in words is "one trillion, twenty-one billion, six hundred eighty-eight million, eight hundred nineteen thousand, seven hundred twelve".