1906255974960 has 240 divisors, whose sum is σ = 6742905212160. Its totient is φ = 481285808640.

The previous prime is 1906255974923. The next prime is 1906255974967. The reversal of 1906255974960 is 694795526091.

1906255974960 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 2 + 55 + 97 + 496 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1906255974967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22762765 + ... + 22846355.

It is an arithmetic number, because the mean of its divisors is an integer number (28095438384).

Almost surely, 2^{1906255974960} is an apocalyptic number.

1906255974960 is a gapful number since it is divisible by the number (10) 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 1906255974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371452606080).

1906255974960 is an abundant number, since it is smaller than the sum of its proper divisors (4836649237200).

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

1906255974960 is a wasteful number, since it uses less digits than its factorization.

1906255974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85296 (or 85287 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 1906255974960 in words is "one trillion, nine hundred six billion, two hundred fifty-five million, nine hundred seventy-four thousand, nine hundred sixty".