3955275558960 has 480 divisors, whose sum is σ = 14644389365760. Its totient is φ = 879081984000.

The previous prime is 3955275558937. The next prime is 3955275558961. The reversal of 3955275558960 is 698555725593.

It is not an unprimeable number, because it can be changed into a prime (3955275558961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16988940 + ... + 17220180.

It is an arithmetic number, because the mean of its divisors is an integer number (30509144512).

Almost surely, 2^{3955275558960} is an apocalyptic number.

3955275558960 is a gapful number since it is divisible by the number (30) 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 3955275558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322194682880).

3955275558960 is an abundant number, since it is smaller than the sum of its proper divisors (10689113806800).

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

3955275558960 is a wasteful number, since it uses less digits than its factorization.

3955275558960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231329 (or 231312 counting only the distinct ones).

The product of its (nonzero) digits is 510300000, while the sum is 69.

The spelling of 3955275558960 in words is "three trillion, nine hundred fifty-five billion, two hundred seventy-five million, five hundred fifty-eight thousand, nine hundred sixty".