10164516688200 has 384 divisors, whose sum is σ = 36123473664000. Its totient is φ = 2316099502080.

The previous prime is 10164516688141. The next prime is 10164516688211. The reversal of 10164516688200 is 288661546101.

It is a self number, because there is not a number n which added to its sum of digits gives 10164516688200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3520787157 + ... + 3520790043.

It is an arithmetic number, because the mean of its divisors is an integer number (94071546000).

Almost surely, 2^{10164516688200} is an apocalyptic number.

10164516688200 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 10164516688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061736832000).

10164516688200 is an abundant number, since it is smaller than the sum of its proper divisors (25958956975800).

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

10164516688200 is a wasteful number, since it uses less digits than its factorization.

10164516688200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 10164516688200 in words is "ten trillion, one hundred sixty-four billion, five hundred sixteen million, six hundred eighty-eight thousand, two hundred".