2355956795808 has 672 divisors, whose sum is σ = 8768251658880. Its totient is φ = 605020078080.

The previous prime is 2355956795783. The next prime is 2355956795831. The reversal of 2355956795808 is 8085976595532.

2355956795808 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 9 + 567 + 9 + 58 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 111 ways as a sum of consecutive naturals, for example, 159859416 + ... + 159874152.

It is an arithmetic number, because the mean of its divisors is an integer number (13047993540).

Almost surely, 2^{2355956795808} is an apocalyptic number.

2355956795808 is a gapful number since it is divisible by the number (28) 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 2355956795808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384125829440).

2355956795808 is an abundant number, since it is smaller than the sum of its proper divisors (6412294863072).

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

2355956795808 is a wasteful number, since it uses less digits than its factorization.

2355956795808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872 (or 14849 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 2355956795808 in words is "two trillion, three hundred fifty-five billion, nine hundred fifty-six million, seven hundred ninety-five thousand, eight hundred eight".