986034059487360 has 768 divisors, whose sum is σ = 3691516973245920. Its totient is φ = 241082066534400.

The previous prime is 986034059487329. The next prime is 986034059487419. The reversal of 986034059487360 is 63784950430689.

986034059487360 is a `hidden beast` number, since 9 + 8 + 6 + 0 + 3 + 405 + 94 + 8 + 73 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 411637677788736 + 574396381698624 = 20288856^2 + 23966568^2 .

It is a super-3 number, since 3×986034059487360³ (a number of 46 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35750468770 + ... + 35750496350.

Almost surely, 2^{986034059487360} is an apocalyptic number.

986034059487360 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 986034059487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845758486622960).

986034059487360 is an abundant number, since it is smaller than the sum of its proper divisors (2705482913758560).

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

986034059487360 is a wasteful number, since it uses less digits than its factorization.

986034059487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30817 (or 30802 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 986034059487360 in words is "nine hundred eighty-six trillion, thirty-four billion, fifty-nine million, four hundred eighty-seven thousand, three hundred sixty".