2355718406272 has 128 divisors (see below), whose sum is σ = 5856754222080. Its totient is φ = 916918195200.

The previous prime is 2355718406219. The next prime is 2355718406273. The reversal of 2355718406272 is 2726048175532.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2355718406273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10045623 + ... + 10277449.

It is an arithmetic number, because the mean of its divisors is an integer number (45755892360).

Almost surely, 2^{2355718406272} is an apocalyptic number.

2355718406272 is a gapful number since it is divisible by the number (22) 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 2355718406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928377111040).

2355718406272 is an abundant number, since it is smaller than the sum of its proper divisors (3501035815808).

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

2355718406272 is a wasteful number, since it uses less digits than its factorization.

2355718406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232890 (or 232878 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 2355718406272 in words is "two trillion, three hundred fifty-five billion, seven hundred eighteen million, four hundred six thousand, two hundred seventy-two".