1021056993792 has 640 divisors, whose sum is σ = 3352868259840. Its totient is φ = 306773913600.

The previous prime is 1021056993787. The next prime is 1021056993799. The reversal of 1021056993792 is 2973996501201.

1021056993792 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 569 + 9 + 3 + 79 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1021056993799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3882345853 + ... + 3882346115.

It is an arithmetic number, because the mean of its divisors is an integer number (5238856656).

Almost surely, 2^{1021056993792} is an apocalyptic number.

1021056993792 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 1021056993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676434129920).

1021056993792 is an abundant number, since it is smaller than the sum of its proper divisors (2331811266048).

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

1021056993792 is an equidigital number, since it uses as much as digits as its factorization.

1021056993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1021056993792 in words is "one trillion, twenty-one billion, fifty-six million, nine hundred ninety-three thousand, seven hundred ninety-two".