10016275522500 has 675 divisors, whose sum is σ = 35496339272163. Its totient is φ = 2460987360000.

The previous prime is 10016275522433. The next prime is 10016275522511. The reversal of 10016275522500 is 522557261001.

The square root of 10016275522500 is 3164850.

It is a perfect power (a square), and thus also a powerful number.

10016275522500 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 62 + 75 + 5 + 22 + 500 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 5083825410756 + 4932450111744 = 2254734^2 + 2220912^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 18514372230 + ... + 18514372770.

Almost surely, 2^{10016275522500} is an apocalyptic number.

10016275522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10016275522500 is the 3164850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10016275522500

10016275522500 is an abundant number, since it is smaller than the sum of its proper divisors (25480063749663).

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

10016275522500 is an frugal number, since it uses more digits than its factorization.

10016275522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 10016275522500 by its sum of digits (36), we get a square (360585918810000 = 18989100²).

10016275522500 divided by its sum of digits (36) gives a square (278229875625 = 527475²).

The spelling of 10016275522500 in words is "ten trillion, sixteen billion, two hundred seventy-five million, five hundred twenty-two thousand, five hundred".