1985787700416 has 560 divisors, whose sum is σ = 6537496508928. Its totient is φ = 592133068800.

The previous prime is 1985787700381. The next prime is 1985787700423. The reversal of 1985787700416 is 6140077875891.

1985787700416 is a `hidden beast` number, since 1 + 9 + 85 + 78 + 7 + 70 + 0 + 416 = 666.

It is a super-2 number, since 2×1985787700416² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 379616521 + ... + 379621751.

Almost surely, 2^{1985787700416} is an apocalyptic number.

1985787700416 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 1985787700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268748254464).

1985787700416 is an abundant number, since it is smaller than the sum of its proper divisors (4551708808512).

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

1985787700416 is a wasteful number, since it uses less digits than its factorization.

1985787700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 1985787700416 in words is "one trillion, nine hundred eighty-five billion, seven hundred eighty-seven million, seven hundred thousand, four hundred sixteen".