1025206744320 has 576 divisors, whose sum is σ = 3978480844800. Its totient is φ = 247928463360.

The previous prime is 1025206744313. The next prime is 1025206744327. The reversal of 1025206744320 is 234476025201.

1025206744320 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 206 + 7 + 443 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1025206744313) and next prime (1025206744327).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025206744327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166887169 + ... + 166893311.

It is an arithmetic number, because the mean of its divisors is an integer number (6907084800).

Almost surely, 2^{1025206744320} is an apocalyptic number.

1025206744320 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 1025206744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989240422400).

1025206744320 is an abundant number, since it is smaller than the sum of its proper divisors (2953274100480).

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

1025206744320 is a wasteful number, since it uses less digits than its factorization.

1025206744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1025206744320 in words is "one trillion, twenty-five billion, two hundred six million, seven hundred forty-four thousand, three hundred twenty".