1023506668800 has 3402 divisors, whose sum is σ = 4987843852614. Its totient is φ = 206928691200.

The previous prime is 1023506668799. The next prime is 1023506668823. The reversal of 1023506668800 is 88666053201.

It can be written as a sum of positive squares in 3 ways, for example, as 216872764416 + 806633904384 = 465696^2 + 898128^2 .

It is a tau number, because it is divible by the number of its divisors (3402).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 27662342382 + ... + 27662342418.

Almost surely, 2^{1023506668800} is an apocalyptic number.

1023506668800 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 1023506668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493921926307).

1023506668800 is an abundant number, since it is smaller than the sum of its proper divisors (3964337183814).

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

1023506668800 is an equidigital number, since it uses as much as digits as its factorization.

1023506668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1023506668800 in words is "one trillion, twenty-three billion, five hundred six million, six hundred sixty-eight thousand, eight hundred".