2165136417000 has 192 divisors, whose sum is σ = 7319869324560. Its totient is φ = 577234944000.

The previous prime is 2165136416957. The next prime is 2165136417047. The reversal of 2165136417000 is 7146315612.

2165136417000 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 1 + 3 + 641 + 7 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 222106723524 + 1943029693476 = 471282^2 + 1393926^2 .

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, 42031260 + ... + 42082740.

Almost surely, 2^{2165136417000} is an apocalyptic number.

2165136417000 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 2165136417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659934662280).

2165136417000 is an abundant number, since it is smaller than the sum of its proper divisors (5154732907560).

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

2165136417000 is a wasteful number, since it uses less digits than its factorization.

2165136417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56181 (or 56164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2165136417000 in words is "two trillion, one hundred sixty-five billion, one hundred thirty-six million, four hundred seventeen thousand".