986279820480 has 560 divisors, whose sum is σ = 3655093812480. Its totient is φ = 252166348800.

The previous prime is 986279820469. The next prime is 986279820569. The reversal of 986279820480 is 84028972689.

986279820480 is a `hidden beast` number, since 9 + 8 + 6 + 2 + 79 + 82 + 0 + 480 = 666.

It is a super-2 number, since 2×986279820480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87578050 + ... + 87589310.

Almost surely, 2^986279820480 is an apocalyptic number.

986279820480 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 986279820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827546906240).

986279820480 is an abundant number, since it is smaller than the sum of its proper divisors (2668813992000).

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

986279820480 is a wasteful number, since it uses less digits than its factorization.

986279820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 986279820480 in words is "nine hundred eighty-six billion, two hundred seventy-nine million, eight hundred twenty thousand, four hundred eighty".