986540746752 has 1008 divisors, whose sum is σ = 3352651061760. Its totient is φ = 289700167680.

The previous prime is 986540746721. The next prime is 986540746757. The reversal of 986540746752 is 257647045689.

986540746752 is a `hidden beast` number, since 9 + 86 + 5 + 40 + 7 + 467 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 986540746752.

It is not an unprimeable number, because it can be changed into a prime (986540746757) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7768037313 + ... + 7768037439.

It is an arithmetic number, because the mean of its divisors is an integer number (3326042720).

Almost surely, 2^986540746752 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 986540746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676325530880).

986540746752 is an abundant number, since it is smaller than the sum of its proper divisors (2366110315008).

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

986540746752 is a wasteful number, since it uses less digits than its factorization.

986540746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 986540746752 in words is "nine hundred eighty-six billion, five hundred forty million, seven hundred forty-six thousand, seven hundred fifty-two".