8210026022400 has 1440 divisors, whose sum is σ = 33060741611040. Its totient is φ = 1935236136960.

The previous prime is 8210026022329. The next prime is 8210026022447. The reversal of 8210026022400 is 42206200128.

It is a happy number.

8210026022400 is a `hidden beast` number, since 8 + 2 + 10 + 0 + 2 + 602 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2101361247 + ... + 2101365153.

It is an arithmetic number, because the mean of its divisors is an integer number (22958848341).

Almost surely, 2^{8210026022400} is an apocalyptic number.

8210026022400 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 8210026022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530370805520).

8210026022400 is an abundant number, since it is smaller than the sum of its proper divisors (24850715588640).

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

8210026022400 is a wasteful number, since it uses less digits than its factorization.

8210026022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 8210026022400 in words is "eight trillion, two hundred ten billion, twenty-six million, twenty-two thousand, four hundred".