986297133360 has 1920 divisors, whose sum is σ = 4312181145600. Its totient is φ = 180502732800.

The previous prime is 986297133359. The next prime is 986297133421. The reversal of 986297133360 is 63331792689.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 986297133360.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12484773801 + ... + 12484773879.

It is an arithmetic number, because the mean of its divisors is an integer number (2245927680).

Almost surely, 2^986297133360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986297133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156090572800).

986297133360 is an abundant number, since it is smaller than the sum of its proper divisors (3325884012240).

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

986297133360 is a wasteful number, since it uses less digits than its factorization.

986297133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 986297133360 in words is "nine hundred eighty-six billion, two hundred ninety-seven million, one hundred thirty-three thousand, three hundred sixty".