2855928342960 has 960 divisors, whose sum is σ = 13211797248000. Its totient is φ = 534243409920.

The previous prime is 2855928342929. The next prime is 2855928342991. The reversal of 2855928342960 is 692438295582.

2855928342960 is a `hidden beast` number, since 2 + 8 + 5 + 592 + 8 + 34 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2855928342929) and next prime (2855928342991).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21611166 + ... + 21742914.

It is an arithmetic number, because the mean of its divisors is an integer number (13762288800).

Almost surely, 2^{2855928342960} is an apocalyptic number.

2855928342960 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 2855928342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605898624000).

2855928342960 is an abundant number, since it is smaller than the sum of its proper divisors (10355868905040).

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

2855928342960 is a wasteful number, since it uses less digits than its factorization.

2855928342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131826 (or 131817 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 2855928342960 in words is "two trillion, eight hundred fifty-five billion, nine hundred twenty-eight million, three hundred forty-two thousand, nine hundred sixty".