10072816012900 has 81 divisors (see below), whose sum is σ = 22851334546201. Its totient is φ = 3853667704480.

The previous prime is 10072816012867. The next prime is 10072816012901. The reversal of 10072816012900 is 921061827001.

The square root of 10072816012900 is 3173770.

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

It can be written as a sum of positive squares in only one way, i.e., 3626213764644 + 6446602248256 = 1904262^2 + 2539016^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10072816012900.

It is not an unprimeable number, because it can be changed into a prime (10072816012901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 729960201 + ... + 729973999.

Almost surely, 2^{10072816012900} is an apocalyptic number.

10072816012900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10072816012900 is the 3173770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072816012900

10072816012900 is an abundant number, since it is smaller than the sum of its proper divisors (12778518533301).

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

10072816012900 is an frugal number, since it uses more digits than its factorization.

10072816012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27658 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

Adding to 10072816012900 its reverse (921061827001), we get a palindrome (10993877839901).

The spelling of 10072816012900 in words is "ten trillion, seventy-two billion, eight hundred sixteen million, twelve thousand, nine hundred".