1076308216200 has 432 divisors, whose sum is σ = 4387563910080. Its totient is φ = 235316632320.

The previous prime is 1076308216171. The next prime is 1076308216307. The reversal of 1076308216200 is 26128036701.

1076308216200 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 0 + 8 + 21 + 620 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1763317 + ... + 2293883.

It is an arithmetic number, because the mean of its divisors is an integer number (10156397940).

Almost surely, 2^{1076308216200} is an apocalyptic number.

1076308216200 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 1076308216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193781955040).

1076308216200 is an abundant number, since it is smaller than the sum of its proper divisors (3311255693880).

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

1076308216200 is a wasteful number, since it uses less digits than its factorization.

1076308216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530626 (or 530607 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1076308216200 in words is "one trillion, seventy-six billion, three hundred eight million, two hundred sixteen thousand, two hundred".