2855845697040 has 240 divisors, whose sum is σ = 10992421440000. Its totient is φ = 650893943808.

The previous prime is 2855845696993. The next prime is 2855845697077. The reversal of 2855845697040 is 407965485582.

2855845697040 is a `hidden beast` number, since 2 + 8 + 5 + 58 + 456 + 97 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 947161 + ... + 2570759.

It is an arithmetic number, because the mean of its divisors is an integer number (45801756000).

Almost surely, 2^{2855845697040} is an apocalyptic number.

2855845697040 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 2855845697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496210720000).

2855845697040 is an abundant number, since it is smaller than the sum of its proper divisors (8136575742960).

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

2855845697040 is a wasteful number, since it uses less digits than its factorization.

2855845697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623974 (or 1623965 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 2855845697040 in words is "two trillion, eight hundred fifty-five billion, eight hundred forty-five million, six hundred ninety-seven thousand, forty".