2165273576400 has 240 divisors, whose sum is σ = 7568214317568. Its totient is φ = 524806080000.

The previous prime is 2165273576369. The next prime is 2165273576441. The reversal of 2165273576400 is 46753725612.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2165273576400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76902325 + ... + 76930475.

Almost surely, 2^{2165273576400} is an apocalyptic number.

2165273576400 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 2165273576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784107158784).

2165273576400 is an abundant number, since it is smaller than the sum of its proper divisors (5402940741168).

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

2165273576400 is a wasteful number, since it uses less digits than its factorization.

2165273576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34010 (or 33999 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 2165273576400 in words is "two trillion, one hundred sixty-five billion, two hundred seventy-three million, five hundred seventy-six thousand, four hundred".