5052035318400 has 2016 divisors, whose sum is σ = 21974877251100. Its totient is φ = 1143751311360.

The previous prime is 5052035318387. The next prime is 5052035318401. The reversal of 5052035318400 is 48135302505.

5052035318400 is a `hidden beast` number, since 5 + 0 + 520 + 3 + 53 + 1 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2439519114816 + 2612516203584 = 1561896^2 + 1616328^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (5052035318401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 22061289486 + ... + 22061289714.

Almost surely, 2^{5052035318400} is an apocalyptic number.

5052035318400 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 5052035318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10987438625550).

5052035318400 is an abundant number, since it is smaller than the sum of its proper divisors (16922841932700).

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

5052035318400 is a wasteful number, since it uses less digits than its factorization.

5052035318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 5052035318400 in words is "five trillion, fifty-two billion, thirty-five million, three hundred eighteen thousand, four hundred".