986345560800 has 864 divisors, whose sum is σ = 3789372839616. Its totient is φ = 240734208000.

The previous prime is 986345560763. The next prime is 986345560843. The reversal of 986345560800 is 8065543689.

It is a happy number.

986345560800 is a `hidden beast` number, since 9 + 8 + 6 + 3 + 4 + 556 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 359847430 + ... + 359850170.

It is an arithmetic number, because the mean of its divisors is an integer number (4385848194).

Almost surely, 2^986345560800 is an apocalyptic number.

986345560800 is a gapful number since it is divisible by the number (90) 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 986345560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894686419808).

986345560800 is an abundant number, since it is smaller than the sum of its proper divisors (2803027278816).

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

986345560800 is a wasteful number, since it uses less digits than its factorization.

986345560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 986345560800 in words is "nine hundred eighty-six billion, three hundred forty-five million, five hundred sixty thousand, eight hundred".