1081683201600 has 693 divisors, whose sum is σ = 4030063439857. Its totient is φ = 285753070080.

The previous prime is 1081683201563. The next prime is 1081683201617. The reversal of 1081683201600 is 61023861801.

The square root of 1081683201600 is 1040040.

It is a perfect power (a square), and thus also a powerful number.

1081683201600 is a `hidden beast` number, since 1 + 0 + 8 + 16 + 8 + 32 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389405952576 + 692277249024 = 624024^2 + 832032^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 10109188747 + ... + 10109188853.

Almost surely, 2^{1081683201600} is an apocalyptic number.

1081683201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1081683201600 is the 1040040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081683201600

1081683201600 is an abundant number, since it is smaller than the sum of its proper divisors (2948380238257).

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

1081683201600 is an frugal number, since it uses more digits than its factorization.

1081683201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 1081683201600 by its sum of digits (36), we get a square (38940595257600 = 6240240²).

1081683201600 divided by its sum of digits (36) gives a square (30046755600 = 173340²).

The spelling of 1081683201600 in words is "one trillion, eighty-one billion, six hundred eighty-three million, two hundred one thousand, six hundred".