10204137216 has 288 divisors, whose sum is σ = 37141278720. Its totient is φ = 2691035136.

The previous prime is 10204137191. The next prime is 10204137221. The reversal of 10204137216 is 61273140201.

10204137216 is a `hidden beast` number, since 10 + 20 + 413 + 7 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10204137216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620881 + ... + 637103.

Almost surely, 2^10204137216 is an apocalyptic number.

10204137216 is a gapful number since it is divisible by the number (16) 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 10204137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570639360).

10204137216 is an abundant number, since it is smaller than the sum of its proper divisors (26937141504).

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

10204137216 is a wasteful number, since it uses less digits than its factorization.

10204137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16268 (or 16248 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10204137216 its reverse (61273140201), we get a palindrome (71477277417).

The spelling of 10204137216 in words is "ten billion, two hundred four million, one hundred thirty-seven thousand, two hundred sixteen".