1025733443160 has 128 divisors (see below), whose sum is σ = 3151192999680. Its totient is φ = 266961612288.

The previous prime is 1025733443087. The next prime is 1025733443177. The reversal of 1025733443160 is 613443375201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6668074 + ... + 6820166.

It is an arithmetic number, because the mean of its divisors is an integer number (24618695310).

Almost surely, 2^{1025733443160} is an apocalyptic number.

1025733443160 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 1025733443160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575596499840).

1025733443160 is an abundant number, since it is smaller than the sum of its proper divisors (2125459556520).

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

1025733443160 is a wasteful number, since it uses less digits than its factorization.

1025733443160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153457 (or 153453 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 1025733443160 in words is "one trillion, twenty-five billion, seven hundred thirty-three million, four hundred forty-three thousand, one hundred sixty".