2165513734400 has 54 divisors (see below), whose sum is σ = 5359984870002. Its totient is φ = 866205491200.

The previous prime is 2165513734367. The next prime is 2165513734459. The reversal of 2165513734400 is 44373155612.

It can be written as a sum of positive squares in 3 ways, for example, as 5131143424 + 2160382590976 = 71632^2 + 1469824^2 .

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 5 ways as a sum of consecutive naturals, for example, 169174361 + ... + 169187160.

Almost surely, 2^{2165513734400} is an apocalyptic number.

2165513734400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165513734400 is an abundant number, since it is smaller than the sum of its proper divisors (3194471135602).

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

2165513734400 is an equidigital number, since it uses as much as digits as its factorization.

2165513734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338361547 (or 338361528 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 2165513734400 in words is "two trillion, one hundred sixty-five billion, five hundred thirteen million, seven hundred thirty-four thousand, four hundred".