53071170644200 has 192 divisors, whose sum is σ = 127605831922800. Its totient is φ = 20513262182400.

The previous prime is 53071170644087. The next prime is 53071170644207. The reversal of 53071170644200 is 244607117035.

It can be written as a sum of positive squares in 24 ways, for example, as 5624780642244 + 47446390001956 = 2371662^2 + 6888134^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (53071170644207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2907522274 + ... + 2907540526.

Almost surely, 2^{53071170644200} is an apocalyptic number.

53071170644200 is a gapful number since it is divisible by the number (50) 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 53071170644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63802915961400).

53071170644200 is an abundant number, since it is smaller than the sum of its proper divisors (74534661278600).

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

53071170644200 is a wasteful number, since it uses less digits than its factorization.

53071170644200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21672 (or 21663 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 53071170644200 in words is "fifty-three trillion, seventy-one billion, one hundred seventy million, six hundred forty-four thousand, two hundred".