1008628531200 has 648 divisors, whose sum is σ = 3772745278848. Its totient is φ = 257100349440.

The previous prime is 1008628531181. The next prime is 1008628531217. The reversal of 1008628531200 is 21358268001.

It is a happy number.

1008628531200 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 628 + 5 + 3 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 678296857 + ... + 678298343.

It is an arithmetic number, because the mean of its divisors is an integer number (5822137776).

Almost surely, 2^{1008628531200} is an apocalyptic number.

1008628531200 is a gapful number since it is divisible by the number (10) 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 1008628531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886372639424).

1008628531200 is an abundant number, since it is smaller than the sum of its proper divisors (2764116747648).

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

1008628531200 is an equidigital number, since it uses as much as digits as its factorization.

1008628531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1008628531200 in words is "one trillion, eight billion, six hundred twenty-eight million, five hundred thirty-one thousand, two hundred".