986457688560 has 480 divisors, whose sum is σ = 3628996300800. Its totient is φ = 239366983680.

The previous prime is 986457688523. The next prime is 986457688577. The reversal of 986457688560 is 65886754689.

It is a happy number.

986457688560 is a `hidden beast` number, since 9 + 8 + 6 + 4 + 57 + 6 + 8 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30271956 + ... + 30304524.

It is an arithmetic number, because the mean of its divisors is an integer number (7560408960).

Almost surely, 2^986457688560 is an apocalyptic number.

986457688560 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 986457688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814498150400).

986457688560 is an abundant number, since it is smaller than the sum of its proper divisors (2642538612240).

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

986457688560 is a wasteful number, since it uses less digits than its factorization.

986457688560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32701 (or 32692 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 986457688560 in words is "nine hundred eighty-six billion, four hundred fifty-seven million, six hundred eighty-eight thousand, five hundred sixty".