8053188170400 has 432 divisors, whose sum is σ = 30147507936000. Its totient is φ = 2015847751680.

The previous prime is 8053188170393. The next prime is 8053188170431. The reversal of 8053188170400 is 40718813508.

It is a happy number.

8053188170400 is a `hidden beast` number, since 8 + 0 + 53 + 188 + 17 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46302801 + ... + 46476399.

It is an arithmetic number, because the mean of its divisors is an integer number (69785898000).

Almost surely, 2^{8053188170400} is an apocalyptic number.

8053188170400 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 8053188170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073753968000).

8053188170400 is an abundant number, since it is smaller than the sum of its proper divisors (22094319765600).

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

8053188170400 is a wasteful number, since it uses less digits than its factorization.

8053188170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174021 (or 174005 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 8053188170400 in words is "eight trillion, fifty-three billion, one hundred eighty-eight million, one hundred seventy thousand, four hundred".