52052083855200 has 7776 divisors, whose sum is σ = 260076824017920. Its totient is φ = 10050822144000.

The previous prime is 52052083855159. The next prime is 52052083855201. The reversal of 52052083855200 is 255838025025.

52052083855200 is a `hidden beast` number, since 5 + 20 + 5 + 20 + 8 + 3 + 85 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52052083855201) by changing a digit.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 1679099479185 + ... + 1679099479215.

Almost surely, 2^{52052083855200} is an apocalyptic number.

52052083855200 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 52052083855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130038412008960).

52052083855200 is an abundant number, since it is smaller than the sum of its proper divisors (208024740162720).

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

52052083855200 is a wasteful number, since it uses less digits than its factorization.

52052083855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 52052083855200 in words is "fifty-two trillion, fifty-two billion, eighty-three million, eight hundred fifty-five thousand, two hundred".