52409851200 has 1176 divisors, whose sum is σ = 227205844800. Its totient is φ = 11887948800.

The previous prime is 52409851187. The next prime is 52409851297. The reversal of 52409851200 is 215890425.

52409851200 is a `hidden beast` number, since 52 + 4 + 0 + 98 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×52409851200² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 400075135 + ... + 400075265.

Almost surely, 2^52409851200 is an apocalyptic number.

52409851200 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 52409851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113602922400).

52409851200 is an abundant number, since it is smaller than the sum of its proper divisors (174795993600).

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

52409851200 is an equidigital number, since it uses as much as digits as its factorization.

52409851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52409851200 in words is "fifty-two billion, four hundred nine million, eight hundred fifty-one thousand, two hundred".