10018197865728 has 972 divisors, whose sum is σ = 33158252119356. Its totient is φ = 2905871155200.

The previous prime is 10018197865721. The next prime is 10018197865729. The reversal of 10018197865728 is 82756879181001.

It can be written as a sum of positive squares in 6 ways, for example, as 5292061000704 + 4726136865024 = 2300448^2 + 2173968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018197865721) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15341803450 + ... + 15341804102.

Almost surely, 2^{10018197865728} is an apocalyptic number.

10018197865728 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 10018197865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579126059678).

10018197865728 is an abundant number, since it is smaller than the sum of its proper divisors (23140054253628).

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

10018197865728 is a wasteful number, since it uses less digits than its factorization.

10018197865728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 63.

The spelling of 10018197865728 in words is "ten trillion, eighteen billion, one hundred ninety-seven million, eight hundred sixty-five thousand, seven hundred twenty-eight".