1985152942080 has 2304 divisors, whose sum is σ = 9277093969920. Its totient is φ = 390699417600.

The previous prime is 1985152942079. The next prime is 1985152942133. The reversal of 1985152942080 is 802492515891.

1985152942080 is a `hidden beast` number, since 1 + 9 + 8 + 515 + 2 + 9 + 42 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42237296617 + ... + 42237296663.

It is an arithmetic number, because the mean of its divisors is an integer number (4026516480).

Almost surely, 2^{1985152942080} is an apocalyptic number.

1985152942080 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 1985152942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638546984960).

1985152942080 is an abundant number, since it is smaller than the sum of its proper divisors (7291941027840).

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

1985152942080 is an equidigital number, since it uses as much as digits as its factorization.

1985152942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1985152942080 in words is "one trillion, nine hundred eighty-five billion, one hundred fifty-two million, nine hundred forty-two thousand, eighty".