10200162624720 has 960 divisors, whose sum is σ = 35525194099200. Its totient is φ = 2411980390400.

The previous prime is 10200162624719. The next prime is 10200162624731. The reversal of 10200162624720 is 2742626100201.

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 191 ways as a sum of consecutive naturals, for example, 36299510980 + ... + 36299511260.

It is an arithmetic number, because the mean of its divisors is an integer number (37005410520).

Almost surely, 2^{10200162624720} is an apocalyptic number.

10200162624720 is a gapful number since it is divisible by the number (10) 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 10200162624720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762597049600).

10200162624720 is an abundant number, since it is smaller than the sum of its proper divisors (25325031474480).

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

10200162624720 is a wasteful number, since it uses less digits than its factorization.

10200162624720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 10200162624720 its reverse (2742626100201), we get a palindrome (12942788724921).

The spelling of 10200162624720 in words is "ten trillion, two hundred billion, one hundred sixty-two million, six hundred twenty-four thousand, seven hundred twenty".