1023642223520 has 192 divisors, whose sum is σ = 2795817088512. Its totient is φ = 346913280000.

The previous prime is 1023642223493. The next prime is 1023642223529. The reversal of 1023642223520 is 253222463201.

1023642223520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1023642223529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71371550 + ... + 71385890.

It is an arithmetic number, because the mean of its divisors is an integer number (14561547336).

Almost surely, 2^{1023642223520} is an apocalyptic number.

1023642223520 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 1023642223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397908544256).

1023642223520 is an abundant number, since it is smaller than the sum of its proper divisors (1772174864992).

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

1023642223520 is a wasteful number, since it uses less digits than its factorization.

1023642223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 1023642223520 its reverse (253222463201), we get a palindrome (1276864686721).

The spelling of 1023642223520 in words is "one trillion, twenty-three billion, six hundred forty-two million, two hundred twenty-three thousand, five hundred twenty".