10782134035456 has 297 divisors, whose sum is σ = 25495318151121. Its totient is φ = 4544314392576.

The previous prime is 10782134035423. The next prime is 10782134035459. The reversal of 10782134035456 is 65453043128701.

The square root of 10782134035456 is 3283616.

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

It can be written as a sum of positive squares in only one way, i.e., 6333476889600 + 4448657145856 = 2516640^2 + 2109184^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10782134035459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78701708220 + ... + 78701708356.

Almost surely, 2^{10782134035456} is an apocalyptic number.

10782134035456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10782134035456 is the 3283616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10782134035456

10782134035456 is an abundant number, since it is smaller than the sum of its proper divisors (14713184115665).

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

10782134035456 is an frugal number, since it uses more digits than its factorization.

10782134035456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 10782134035456 by its sum of digits (49), we get a square (528324567737344 = 22985312²).

10782134035456 divided by its sum of digits (49) gives a square (220043551744 = 469088²).

The spelling of 10782134035456 in words is "ten trillion, seven hundred eighty-two billion, one hundred thirty-four million, thirty-five thousand, four hundred fifty-six".