10002608116200 has 288 divisors, whose sum is σ = 39283777790400. Its totient is φ = 2233140295680.

The previous prime is 10002608116099. The next prime is 10002608116253. The reversal of 10002608116200 is 261180620001.

10002608116200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 26 + 0 + 8 + 11 + 620 + 0 = 666.

10002608116200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10002608116200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8689105 + ... + 9772704.

Almost surely, 2^{10002608116200} is an apocalyptic number.

10002608116200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002608116200 is an abundant number, since it is smaller than the sum of its proper divisors (29281169674200).

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

10002608116200 is a wasteful number, since it uses less digits than its factorization.

10002608116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461881 (or 18461869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10002608116200 its reverse (261180620001), we get a palindrome (10263788736201).

The spelling of 10002608116200 in words is "ten trillion, two billion, six hundred eight million, one hundred sixteen thousand, two hundred".