2165320235520 has 1280 divisors, whose sum is σ = 8822810304000. Its totient is φ = 498651365376.

The previous prime is 2165320235497. The next prime is 2165320235539. The reversal of 2165320235520 is 255320235612.

2165320235520 is a `hidden beast` number, since 2 + 1 + 65 + 3 + 20 + 23 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2165320235520² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3498093771 + ... + 3498094389.

It is an arithmetic number, because the mean of its divisors is an integer number (6892820550).

Almost surely, 2^{2165320235520} is an apocalyptic number.

2165320235520 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 2165320235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411405152000).

2165320235520 is an abundant number, since it is smaller than the sum of its proper divisors (6657490068480).

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

2165320235520 is a wasteful number, since it uses less digits than its factorization.

2165320235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2165320235520 in words is "two trillion, one hundred sixty-five billion, three hundred twenty million, two hundred thirty-five thousand, five hundred twenty".