53191987200 has 1170 divisors, whose sum is σ = 220662935262. Its totient is φ = 12651724800.

The previous prime is 53191987183. The next prime is 53191987271. The reversal of 53191987200 is 278919135.

53191987200 is a `hidden beast` number, since 531 + 9 + 1 + 98 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6784487424 + 46407499776 = 82368^2 + 215424^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1003622374 + ... + 1003622426.

Almost surely, 2^53191987200 is an apocalyptic number.

53191987200 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 53191987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110331467631).

53191987200 is an abundant number, since it is smaller than the sum of its proper divisors (167470948062).

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

53191987200 is a wasteful number, since it uses less digits than its factorization.

53191987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 53191987200 in words is "fifty-three billion, one hundred ninety-one million, nine hundred eighty-seven thousand, two hundred".