986049628200 has 1152 divisors, whose sum is σ = 4308567984000. Its totient is φ = 207986849280.

The previous prime is 986049628159. The next prime is 986049628247. The reversal of 986049628200 is 2826940689.

It is a happy number.

986049628200 is a `hidden beast` number, since 9 + 8 + 6 + 0 + 4 + 9 + 628 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 278622031 + ... + 278625569.

It is an arithmetic number, because the mean of its divisors is an integer number (3740076375).

Almost surely, 2^986049628200 is an apocalyptic number.

986049628200 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 986049628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154283992000).

986049628200 is an abundant number, since it is smaller than the sum of its proper divisors (3322518355800).

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

986049628200 is a wasteful number, since it uses less digits than its factorization.

986049628200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 986049628200 in words is "nine hundred eighty-six billion, forty-nine million, six hundred twenty-eight thousand, two hundred".