1025259261120 has 336 divisors, whose sum is σ = 3624917320128. Its totient is φ = 265782435840.

The previous prime is 1025259261119. The next prime is 1025259261179. The reversal of 1025259261120 is 211629525201.

1025259261120 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 592 + 61 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147155877 + ... + 147162843.

Almost surely, 2^{1025259261120} is an apocalyptic number.

1025259261120 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 1025259261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812458660064).

1025259261120 is an abundant number, since it is smaller than the sum of its proper divisors (2599658059008).

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

1025259261120 is a wasteful number, since it uses less digits than its factorization.

1025259261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1025259261120 in words is "one trillion, twenty-five billion, two hundred fifty-nine million, two hundred sixty-one thousand, one hundred twenty".