252201200534400 has 384 divisors, whose sum is σ = 909252142575840. Its totient is φ = 61062583910400.

The previous prime is 252201200534357. The next prime is 252201200534467. The reversal of 252201200534400 is 4435002102252.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 8951487 + ... + 24177086.

Almost surely, 2^{252201200534400} is an apocalyptic number.

252201200534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252201200534400 is an abundant number, since it is smaller than the sum of its proper divisors (657050942041440).

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

252201200534400 is a wasteful number, since it uses less digits than its factorization.

252201200534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33128674 (or 33128657 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 252201200534400 its reverse (4435002102252), we get a palindrome (256636202636652).

The spelling of 252201200534400 in words is "two hundred fifty-two trillion, two hundred one billion, two hundred million, five hundred thirty-four thousand, four hundred".