1025809836120 has 192 divisors, whose sum is σ = 3342590971200. Its totient is φ = 272835763200.

The previous prime is 1025809836083. The next prime is 1025809836127. The reversal of 1025809836120 is 216389085201.

1025809836120 is a `hidden beast` number, since 1 + 0 + 2 + 580 + 9 + 8 + 3 + 61 + 2 + 0 = 666.

It is a super-3 number, since 3×1025809836120³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025809836127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275827621 + ... + 275831339.

It is an arithmetic number, because the mean of its divisors is an integer number (17409327975).

Almost surely, 2^{1025809836120} is an apocalyptic number.

1025809836120 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 1025809836120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671295485600).

1025809836120 is an abundant number, since it is smaller than the sum of its proper divisors (2316781135080).

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

1025809836120 is a wasteful number, since it uses less digits than its factorization.

1025809836120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1025809836120 in words is "one trillion, twenty-five billion, eight hundred nine million, eight hundred thirty-six thousand, one hundred twenty".