1985629201920 has 2880 divisors, whose sum is σ = 9383238184320. Its totient is φ = 377336365056.

The previous prime is 1985629201873. The next prime is 1985629201987. The reversal of 1985629201920 is 291029265891.

1985629201920 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 629 + 2 + 0 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1985629201920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17571939784 + ... + 17571939896.

It is an arithmetic number, because the mean of its divisors is an integer number (3258068814).

Almost surely, 2^{1985629201920} is an apocalyptic number.

1985629201920 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 1985629201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691619092160).

1985629201920 is an abundant number, since it is smaller than the sum of its proper divisors (7397608982400).

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

1985629201920 is a wasteful number, since it uses less digits than its factorization.

1985629201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1985629201920 in words is "one trillion, nine hundred eighty-five billion, six hundred twenty-nine million, two hundred one thousand, nine hundred twenty".