525216384000 has 2112 divisors, whose sum is σ = 2448545808384. Its totient is φ = 105062400000.

The previous prime is 525216383999. The next prime is 525216384013. The reversal of 525216384000 is 483612525.

525216384000 is a `hidden beast` number, since 5 + 2 + 5 + 216 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×525216384000³ (a number of 36 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2749823905 + ... + 2749824095.

Almost surely, 2^525216384000 is an apocalyptic number.

525216384000 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 525216384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224272904192).

525216384000 is an abundant number, since it is smaller than the sum of its proper divisors (1923329424384).

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

525216384000 is a wasteful number, since it uses less digits than its factorization.

525216384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 525216384000 its reverse (483612525), we get a palindrome (525699996525).

The spelling of 525216384000 in words is "five hundred twenty-five billion, two hundred sixteen million, three hundred eighty-four thousand".