1871095994016 has 96 divisors (see below), whose sum is σ = 4997561587200. Its totient is φ = 612797710080.

The previous prime is 1871095993973. The next prime is 1871095994017. The reversal of 1871095994016 is 6104995901781.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1871095994017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10554751 + ... + 10730561.

It is an arithmetic number, because the mean of its divisors is an integer number (52057933200).

Almost surely, 2^{1871095994016} is an apocalyptic number.

1871095994016 is a gapful number since it is divisible by the number (16) 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 1871095994016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498780793600).

1871095994016 is an abundant number, since it is smaller than the sum of its proper divisors (3126465593184).

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

1871095994016 is a wasteful number, since it uses less digits than its factorization.

1871095994016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177762 (or 177754 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 60.

The spelling of 1871095994016 in words is "one trillion, eight hundred seventy-one billion, ninety-five million, nine hundred ninety-four thousand, sixteen".