1025005641660 has 864 divisors, whose sum is σ = 4311316219392. Its totient is φ = 191274670080.

The previous prime is 1025005641607. The next prime is 1025005641661. The reversal of 1025005641660 is 661465005201.

1025005641660 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 0 + 0 + 5 + 641 + 6 + 6 + 0 = 666.

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 (1025005641661) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86660667 + ... + 86672493.

It is an arithmetic number, because the mean of its divisors is an integer number (4989949328).

Almost surely, 2^{1025005641660} is an apocalyptic number.

1025005641660 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 1025005641660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155658109696).

1025005641660 is an abundant number, since it is smaller than the sum of its proper divisors (3286310577732).

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

1025005641660 is a wasteful number, since it uses less digits than its factorization.

1025005641660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11923 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1025005641660 in words is "one trillion, twenty-five billion, five million, six hundred forty-one thousand, six hundred sixty".