1025957560320 has 1440 divisors, whose sum is σ = 4604120269056. Its totient is φ = 212336640000.

The previous prime is 1025957560283. The next prime is 1025957560333. The reversal of 1025957560320 is 230657595201.

1025957560320 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 9 + 57 + 560 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4087480195 + ... + 4087480445.

Almost surely, 2^{1025957560320} is an apocalyptic number.

1025957560320 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 1025957560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302060134528).

1025957560320 is an abundant number, since it is smaller than the sum of its proper divisors (3578162708736).

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

1025957560320 is an frugal number, since it uses more digits than its factorization.

1025957560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 1025957560320 in words is "one trillion, twenty-five billion, nine hundred fifty-seven million, five hundred sixty thousand, three hundred twenty".