53215603200 has 720 divisors, whose sum is σ = 208822493880. Its totient is φ = 12881756160.

The previous prime is 53215603193. The next prime is 53215603213. The reversal of 53215603200 is 230651235.

53215603200 is a `hidden beast` number, since 5 + 32 + 1 + 5 + 603 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 946669824 + 52268933376 = 30768^2 + 228624^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×53215603200⁴ (a number of 44 digits) contains 4444 as substring.

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, 56793132 + ... + 56794068.

Almost surely, 2^53215603200 is an apocalyptic number.

53215603200 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 53215603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104411246940).

53215603200 is an abundant number, since it is smaller than the sum of its proper divisors (155606890680).

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

53215603200 is a wasteful number, since it uses less digits than its factorization.

53215603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 53215603200 in words is "fifty-three billion, two hundred fifteen million, six hundred three thousand, two hundred".