985778062416 has 1600 divisors, whose sum is σ = 3763343130624. Its totient is φ = 242660966400.

The previous prime is 985778062393. The next prime is 985778062421. The reversal of 985778062416 is 614260877589.

985778062416 is a `hidden beast` number, since 9 + 85 + 7 + 7 + 80 + 62 + 416 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 9212879035 + ... + 9212879141.

Almost surely, 2^985778062416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985778062416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881671565312).

985778062416 is an abundant number, since it is smaller than the sum of its proper divisors (2777565068208).

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

985778062416 is a wasteful number, since it uses less digits than its factorization.

985778062416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 985778062416 in words is "nine hundred eighty-five billion, seven hundred seventy-eight million, sixty-two thousand, four hundred sixteen".