1023968563200 has 2184 divisors, whose sum is σ = 4396164743520. Its totient is φ = 234101145600.

The previous prime is 1023968563151. The next prime is 1023968563231. The reversal of 1023968563200 is 23658693201.

1023968563200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 6 + 8 + 5 + 632 + 0 + 0 = 666.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 23813222379 + ... + 23813222421.

Almost surely, 2^{1023968563200} is an apocalyptic number.

1023968563200 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 1023968563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198082371760).

1023968563200 is an abundant number, since it is smaller than the sum of its proper divisors (3372196180320).

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

1023968563200 is an equidigital number, since it uses as much as digits as its factorization.

1023968563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1023968563200 in words is "one trillion, twenty-three billion, nine hundred sixty-eight million, five hundred sixty-three thousand, two hundred".