52124083200 has 1584 divisors, whose sum is σ = 237278414400. Its totient is φ = 11287019520.

The previous prime is 52124083189. The next prime is 52124083217. The reversal of 52124083200 is 238042125.

52124083200 is a `hidden beast` number, since 52 + 1 + 2 + 408 + 3 + 200 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2743372791 + ... + 2743372809.

Almost surely, 2^52124083200 is an apocalyptic number.

52124083200 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 52124083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118639207200).

52124083200 is an abundant number, since it is smaller than the sum of its proper divisors (185154331200).

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

52124083200 is an equidigital number, since it uses as much as digits as its factorization.

52124083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 52124083200 in words is "fifty-two billion, one hundred twenty-four million, eighty-three thousand, two hundred".