986776863072 has 1152 divisors, whose sum is σ = 3706601472000. Its totient is φ = 225682329600.

The previous prime is 986776863029. The next prime is 986776863091. The reversal of 986776863072 is 270368677689.

It is a junction number, because it is equal to n+sod(n) for n = 986776862988 and 986776863006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1647373429 + ... + 1647374027.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536000).

Almost surely, 2^986776863072 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 986776863072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736000).

986776863072 is an abundant number, since it is smaller than the sum of its proper divisors (2719824608928).

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

986776863072 is a wasteful number, since it uses less digits than its factorization.

986776863072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 69.

The spelling of 986776863072 in words is "nine hundred eighty-six billion, seven hundred seventy-six million, eight hundred sixty-three thousand, seventy-two".