986285051136 has 720 divisors, whose sum is σ = 3676500938880. Its totient is φ = 255487426560.

The previous prime is 986285051131. The next prime is 986285051137. The reversal of 986285051136 is 631150582689.

986285051136 is a `hidden beast` number, since 9 + 8 + 628 + 5 + 0 + 5 + 1 + 1 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986285051131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 889345750 + ... + 889346858.

It is an arithmetic number, because the mean of its divisors is an integer number (5106251304).

Almost surely, 2^986285051136 is an apocalyptic number.

986285051136 is a gapful number since it is divisible by the number (96) 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 986285051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838250469440).

986285051136 is an abundant number, since it is smaller than the sum of its proper divisors (2690215887744).

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

986285051136 is a wasteful number, since it uses less digits than its factorization.

986285051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 986285051136 in words is "nine hundred eighty-six billion, two hundred eighty-five million, fifty-one thousand, one hundred thirty-six".