10200093738408 has 192 divisors, whose sum is σ = 33503343120000. Its totient is φ = 2736772448256.

The previous prime is 10200093738371. The next prime is 10200093738463. The reversal of 10200093738408 is 80483739000201.

10200093738408 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 9 + 3 + 7 + 38 + 408 = 666.

10200093738408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2521323 + ... + 5172741.

It is an arithmetic number, because the mean of its divisors is an integer number (174496578750).

Almost surely, 2^{10200093738408} is an apocalyptic number.

10200093738408 is a gapful number since it is divisible by the number (18) 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 10200093738408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751671560000).

10200093738408 is an abundant number, since it is smaller than the sum of its proper divisors (23303249381592).

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

10200093738408 is a wasteful number, since it uses less digits than its factorization.

10200093738408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651904 (or 2651897 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10200093738408 in words is "ten trillion, two hundred billion, ninety-three million, seven hundred thirty-eight thousand, four hundred eight".