2165925825000 has 1728 divisors, whose sum is σ = 9148668197760. Its totient is φ = 470059200000.

The previous prime is 2165925824981. The next prime is 2165925825023. The reversal of 2165925825000 is 5285295612.

2165925825000 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 92 + 58 + 2 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 40866524974 + ... + 40866525026.

It is an arithmetic number, because the mean of its divisors is an integer number (5294368170).

Almost surely, 2^{2165925825000} is an apocalyptic number.

2165925825000 is a gapful number since it is divisible by the number (20) 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 2165925825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574334098880).

2165925825000 is an abundant number, since it is smaller than the sum of its proper divisors (6982742372760).

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

2165925825000 is an frugal number, since it uses more digits than its factorization.

2165925825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 2165925825000 in words is "two trillion, one hundred sixty-five billion, nine hundred twenty-five million, eight hundred twenty-five thousand".