1082307315600 has 405 divisors, whose sum is σ = 4370880922707. Its totient is φ = 247284656640.

The previous prime is 1082307315589. The next prime is 1082307315611. The reversal of 1082307315600 is 65137032801.

The square root of 1082307315600 is 1040340.

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

1082307315600 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 30 + 7 + 3 + 15 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1082307315589) and next prime (1082307315611).

It can be written as a sum of positive squares in 4 ways, for example, as 21044724624 + 1061262590976 = 145068^2 + 1030176^2 .

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

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 80 ways as a sum of consecutive naturals, for example, 436941562 + ... + 436944038.

Almost surely, 2^{1082307315600} is an apocalyptic number.

1082307315600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1082307315600 is the 1040340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082307315600

1082307315600 is an abundant number, since it is smaller than the sum of its proper divisors (3288573607107).

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

1082307315600 is an equidigital number, since it uses as much as digits as its factorization.

1082307315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 1082307315600 by its sum of digits (36), we get a square (38963063361600 = 6242040²).

1082307315600 divided by its sum of digits (36) gives a square (30064092100 = 173390²).

The spelling of 1082307315600 in words is "one trillion, eighty-two billion, three hundred seven million, three hundred fifteen thousand, six hundred".