8898282086400 has 3024 divisors, whose sum is σ = 39831179235120. Its totient is φ = 1961990553600.

The previous prime is 8898282086399. The next prime is 8898282086443. The reversal of 8898282086400 is 46802828988.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 99980697556 + ... + 99980697644.

It is an arithmetic number, because the mean of its divisors is an integer number (13171686255).

Almost surely, 2^{8898282086400} is an apocalyptic number.

8898282086400 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 8898282086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915589617560).

8898282086400 is an abundant number, since it is smaller than the sum of its proper divisors (30932897148720).

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

8898282086400 is an equidigital number, since it uses as much as digits as its factorization.

8898282086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 8898282086400 in words is "eight trillion, eight hundred ninety-eight billion, two hundred eighty-two million, eighty-six thousand, four hundred".