52348363200 has 504 divisors, whose sum is σ = 213830123520. Its totient is φ = 11898316800.

The previous prime is 52348363189. The next prime is 52348363213. The reversal of 52348363200 is 236384325.

It is a happy number.

52348363200 is a `hidden beast` number, since 52 + 3 + 48 + 363 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×52348363200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 19251441 + ... + 19254159.

Almost surely, 2^52348363200 is an apocalyptic number.

52348363200 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 52348363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106915061760).

52348363200 is an abundant number, since it is smaller than the sum of its proper divisors (161481760320).

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

52348363200 is a wasteful number, since it uses less digits than its factorization.

52348363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 52348363200 in words is "fifty-two billion, three hundred forty-eight million, three hundred sixty-three thousand, two hundred".