1023509960320 has 192 divisors, whose sum is σ = 2647144432800. Its totient is φ = 377367662592.

The previous prime is 1023509960299. The next prime is 1023509960327. The reversal of 1023509960320 is 230699053201.

1023509960320 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 (40).

It is not an unprimeable number, because it can be changed into a prime (1023509960327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16616299 + ... + 16677781.

Almost surely, 2^{1023509960320} is an apocalyptic number.

1023509960320 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 1023509960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323572216400).

1023509960320 is an abundant number, since it is smaller than the sum of its proper divisors (1623634472480).

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

1023509960320 is an equidigital number, since it uses as much as digits as its factorization.

1023509960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61595 (or 61546 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The spelling of 1023509960320 in words is "one trillion, twenty-three billion, five hundred nine million, nine hundred sixty thousand, three hundred twenty".