2165825765376 has 1536 divisors, whose sum is σ = 8282365728000. Its totient is φ = 561842749440.

The previous prime is 2165825765371. The next prime is 2165825765423. The reversal of 2165825765376 is 6735675285612.

2165825765376 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 8 + 2 + 576 + 53 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (127008000) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165825765371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35505340386 + ... + 35505340446.

Almost surely, 2^{2165825765376} is an apocalyptic number.

2165825765376 is a gapful number since it is divisible by the number (26) 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 2165825765376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141182864000).

2165825765376 is an abundant number, since it is smaller than the sum of its proper divisors (6116539962624).

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

2165825765376 is an frugal number, since it uses more digits than its factorization.

2165825765376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 2165825765376 in words is "two trillion, one hundred sixty-five billion, eight hundred twenty-five million, seven hundred sixty-five thousand, three hundred seventy-six".