2355166640640 has 640 divisors, whose sum is σ = 8504856797184. Its totient is φ = 550821888000.

The previous prime is 2355166640557. The next prime is 2355166640689. The reversal of 2355166640640 is 460466615532.

It is a tau number, because it is divible by the number of its divisors (640).

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 2355166640640.

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 63 ways as a sum of consecutive naturals, for example, 976841035 + ... + 976843445.

Almost surely, 2^{2355166640640} is an apocalyptic number.

2355166640640 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 2355166640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252428398592).

2355166640640 is an abundant number, since it is smaller than the sum of its proper divisors (6149690156544).

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

2355166640640 is a wasteful number, since it uses less digits than its factorization.

2355166640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 2355166640640 in words is "two trillion, three hundred fifty-five billion, one hundred sixty-six million, six hundred forty thousand, six hundred forty".