1023968099920 has 40 divisors (see below), whose sum is σ = 2393879047560. Its totient is φ = 407324321280.

The previous prime is 1023968099881. The next prime is 1023968099941. The reversal of 1023968099920 is 299908693201.

It can be written as a sum of positive squares in 4 ways, for example, as 62266219024 + 961701880896 = 249532^2 + 980664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 35343535 + ... + 35372494.

It is an arithmetic number, because the mean of its divisors is an integer number (59846976189).

Almost surely, 2^{1023968099920} is an apocalyptic number.

1023968099920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023968099920 is an abundant number, since it is smaller than the sum of its proper divisors (1369910947640).

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

1023968099920 is a wasteful number, since it uses less digits than its factorization.

1023968099920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70716223 (or 70716217 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 58.

The spelling of 1023968099920 in words is "one trillion, twenty-three billion, nine hundred sixty-eight million, ninety-nine thousand, nine hundred twenty".