8378208854400 has 1152 divisors, whose sum is σ = 35634995285760. Its totient is φ = 1680769843200.

The previous prime is 8378208854359. The next prime is 8378208854401. The reversal of 8378208854400 is 44588028738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378208854401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 621660462 + ... + 621673938.

It is an arithmetic number, because the mean of its divisors is an integer number (30933155630).

Almost surely, 2^{8378208854400} is an apocalyptic number.

8378208854400 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 8378208854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17817497642880).

8378208854400 is an abundant number, since it is smaller than the sum of its proper divisors (27256786431360).

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

8378208854400 is a wasteful number, since it uses less digits than its factorization.

8378208854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 8378208854400 in words is "eight trillion, three hundred seventy-eight billion, two hundred eight million, eight hundred fifty-four thousand, four hundred".