8960013798400 has 528 divisors, whose sum is σ = 28290653568000. Its totient is φ = 2739107266560.

The previous prime is 8960013798371. The next prime is 8960013798403. The reversal of 8960013798400 is 48973100698.

It is not an unprimeable number, because it can be changed into a prime (8960013798403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57804201 + ... + 57958999.

Almost surely, 2^{8960013798400} is an apocalyptic number.

8960013798400 is a gapful number since it is divisible by the number (80) 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 8960013798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145326784000).

8960013798400 is an abundant number, since it is smaller than the sum of its proper divisors (19330639769600).

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

8960013798400 is a wasteful number, since it uses less digits than its factorization.

8960013798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154872 (or 154849 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 8960013798400 in words is "eight trillion, nine hundred sixty billion, thirteen million, seven hundred ninety-eight thousand, four hundred".