986490610560 has 2560 divisors, whose sum is σ = 4607801856000. Its totient is φ = 198010552320.

The previous prime is 986490610513. The next prime is 986490610561. The reversal of 986490610560 is 65016094689.

It is a happy number.

986490610560 is a `hidden beast` number, since 9 + 8 + 64 + 9 + 0 + 6 + 10 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 986490610497 and 986490610506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986490610561) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 16720179811 + ... + 16720179869.

It is an arithmetic number, because the mean of its divisors is an integer number (1799922600).

Almost surely, 2^986490610560 is an apocalyptic number.

986490610560 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 986490610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303900928000).

986490610560 is an abundant number, since it is smaller than the sum of its proper divisors (3621311245440).

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

986490610560 is a wasteful number, since it uses less digits than its factorization.

986490610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 986490610560 in words is "nine hundred eighty-six billion, four hundred ninety million, six hundred ten thousand, five hundred sixty".