1025410728168 has 192 divisors, whose sum is σ = 2867418000720. Its totient is φ = 330797260800.

The previous prime is 1025410728143. The next prime is 1025410728191. The reversal of 1025410728168 is 8618270145201.

1025410728168 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 410 + 72 + 8 + 168 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 420814284804 + 604596443364 = 648702^2 + 777558^2 .

It is a super-2 number, since 2×1025410728168² (a number of 25 digits) contains 22 as substring.

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, 753423808 + ... + 753425168.

Almost surely, 2^{1025410728168} is an apocalyptic number.

1025410728168 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 1025410728168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433709000360).

1025410728168 is an abundant number, since it is smaller than the sum of its proper divisors (1842007272552).

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

1025410728168 is a wasteful number, since it uses less digits than its factorization.

1025410728168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1025410728168 in words is "one trillion, twenty-five billion, four hundred ten million, seven hundred twenty-eight thousand, one hundred sixty-eight".