52414387200 has 1320 divisors, whose sum is σ = 232928817792. Its totient is φ = 11386552320.

The previous prime is 52414387147. The next prime is 52414387217. The reversal of 52414387200 is 278341425.

It is a happy number.

52414387200 is a `hidden beast` number, since 5 + 2 + 414 + 38 + 7 + 200 = 666.

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 119 ways as a sum of consecutive naturals, for example, 333849522 + ... + 333849678.

Almost surely, 2^52414387200 is an apocalyptic number.

52414387200 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 52414387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116464408896).

52414387200 is an abundant number, since it is smaller than the sum of its proper divisors (180514430592).

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

52414387200 is a wasteful number, since it uses less digits than its factorization.

52414387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 52414387200 in words is "fifty-two billion, four hundred fourteen million, three hundred eighty-seven thousand, two hundred".