8919819878400 has 864 divisors, whose sum is σ = 33584922302400. Its totient is φ = 2319659827200.

The previous prime is 8919819878393. The next prime is 8919819878467. The reversal of 8919819878400 is 48789189198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 3627416371 + ... + 3627418829.

It is an arithmetic number, because the mean of its divisors is an integer number (38871437850).

Almost surely, 2^{8919819878400} is an apocalyptic number.

8919819878400 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 8919819878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792461151200).

8919819878400 is an abundant number, since it is smaller than the sum of its proper divisors (24665102424000).

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

8919819878400 is an equidigital number, since it uses as much as digits as its factorization.

8919819878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 72.

The spelling of 8919819878400 in words is "eight trillion, nine hundred nineteen billion, eight hundred nineteen million, eight hundred seventy-eight thousand, four hundred".