1025909837568 has 864 divisors, whose sum is σ = 4031093993472. Its totient is φ = 242683084800.

The previous prime is 1025909837461. The next prime is 1025909837573. The reversal of 1025909837568 is 8657389095201.

1025909837568 is a `hidden beast` number, since 1 + 0 + 2 + 590 + 9 + 8 + 37 + 5 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93488530 + ... + 93499502.

It is an arithmetic number, because the mean of its divisors is an integer number (4665618048).

Almost surely, 2^{1025909837568} is an apocalyptic number.

1025909837568 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 1025909837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015546996736).

1025909837568 is an abundant number, since it is smaller than the sum of its proper divisors (3005184155904).

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

1025909837568 is a wasteful number, since it uses less digits than its factorization.

1025909837568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1025909837568 in words is "one trillion, twenty-five billion, nine hundred nine million, eight hundred thirty-seven thousand, five hundred sixty-eight".