1022768691600 has 240 divisors, whose sum is σ = 3293903980224. Its totient is φ = 271272960000.

The previous prime is 1022768691583. The next prime is 1022768691619. The reversal of 1022768691600 is 61968672201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1022768691600.

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 47 ways as a sum of consecutive naturals, for example, 405698340 + ... + 405700860.

Almost surely, 2^{1022768691600} is an apocalyptic number.

1022768691600 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 1022768691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646951990112).

1022768691600 is an abundant number, since it is smaller than the sum of its proper divisors (2271135288624).

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

1022768691600 is a wasteful number, since it uses less digits than its factorization.

1022768691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 1022768691600 in words is "one trillion, twenty-two billion, seven hundred sixty-eight million, six hundred ninety-one thousand, six hundred".