1076039890200 has 1152 divisors, whose sum is σ = 4283040153600. Its totient is φ = 239500800000.

The previous prime is 1076039890187. The next prime is 1076039890243. The reversal of 1076039890200 is 20989306701.

1076039890200 is a `hidden beast` number, since 10 + 7 + 603 + 9 + 8 + 9 + 0 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1085811705 + ... + 1085812695.

It is an arithmetic number, because the mean of its divisors is an integer number (3717916800).

Almost surely, 2^{1076039890200} is an apocalyptic number.

1076039890200 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 1076039890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141520076800).

1076039890200 is an abundant number, since it is smaller than the sum of its proper divisors (3207000263400).

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

1076039890200 is a wasteful number, since it uses less digits than its factorization.

1076039890200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1076039890200 in words is "one trillion, seventy-six billion, thirty-nine million, eight hundred ninety thousand, two hundred".