1083368722500 has 405 divisors, whose sum is σ = 3567366131329. Its totient is φ = 287774208000.

The previous prime is 1083368722489. The next prime is 1083368722543. The reversal of 1083368722500 is 52278633801.

The square root of 1083368722500 is 1040850.

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

1083368722500 is a `hidden beast` number, since 1 + 0 + 83 + 3 + 68 + 7 + 2 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 171053379396 + 912315343104 = 413586^2 + 955152^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4215442372 + ... + 4215442628.

Almost surely, 2^{1083368722500} is an apocalyptic number.

1083368722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1083368722500 is the 1040850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083368722500

1083368722500 is an abundant number, since it is smaller than the sum of its proper divisors (2483997408829).

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

1083368722500 is an frugal number, since it uses more digits than its factorization.

1083368722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1083368722500 in words is "one trillion, eighty-three billion, three hundred sixty-eight million, seven hundred twenty-two thousand, five hundred".