986272120512 has 448 divisors, whose sum is σ = 3469160448000. Its totient is φ = 268649948160.

The previous prime is 986272120499. The next prime is 986272120529. The reversal of 986272120512 is 215021272689.

986272120512 is a `hidden beast` number, since 9 + 8 + 6 + 2 + 7 + 2 + 120 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×986272120512² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86516989 + ... + 86528387.

Almost surely, 2^986272120512 is an apocalyptic number.

986272120512 is a gapful number since it is divisible by the number (92) 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 986272120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734580224000).

986272120512 is an abundant number, since it is smaller than the sum of its proper divisors (2482888327488).

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

986272120512 is a wasteful number, since it uses less digits than its factorization.

986272120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 986272120512 in words is "nine hundred eighty-six billion, two hundred seventy-two million, one hundred twenty thousand, five hundred twelve".