1025869652640 has 1620 divisors, whose sum is σ = 4460530894974. Its totient is φ = 221385830400.

The previous prime is 1025869652623. The next prime is 1025869652659. The reversal of 1025869652640 is 462569685201.

1025869652640 is a `hidden beast` number, since 1 + 0 + 2 + 58 + 69 + 6 + 526 + 4 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 273951747216 + 751917905424 = 523404^2 + 867132^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

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 269 ways as a sum of consecutive naturals, for example, 25021211020 + ... + 25021211060.

Almost surely, 2^{1025869652640} is an apocalyptic number.

1025869652640 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 1025869652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230265447487).

1025869652640 is an abundant number, since it is smaller than the sum of its proper divisors (3434661242334).

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

1025869652640 is an equidigital number, since it uses as much as digits as its factorization.

1025869652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1025869652640 in words is "one trillion, twenty-five billion, eight hundred sixty-nine million, six hundred fifty-two thousand, six hundred forty".