1025968876020 has 432 divisors, whose sum is σ = 3587480245440. Its totient is φ = 245912578560.

The previous prime is 1025968875979. The next prime is 1025968876039. The reversal of 1025968876020 is 206788695201.

1025968876020 is a `hidden beast` number, since 1 + 0 + 25 + 9 + 6 + 8 + 8 + 7 + 602 + 0 = 666.

1025968876020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1025968876020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52327539 + ... + 52347141.

It is an arithmetic number, because the mean of its divisors is an integer number (8304352420).

Almost surely, 2^{1025968876020} is an apocalyptic number.

1025968876020 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 1025968876020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793740122720).

1025968876020 is an abundant number, since it is smaller than the sum of its proper divisors (2561511369420).

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

1025968876020 is a wasteful number, since it uses less digits than its factorization.

1025968876020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19738 (or 19713 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1025968876020 in words is "one trillion, twenty-five billion, nine hundred sixty-eight million, eight hundred seventy-six thousand, twenty".