10782137984640 has 1152 divisors, whose sum is σ = 40707298336320. Its totient is φ = 2407021608960.

The previous prime is 10782137984533. The next prime is 10782137984707. The reversal of 10782137984640 is 4648973128701.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 10437693564 + ... + 10437694596.

Almost surely, 2^{10782137984640} is an apocalyptic number.

10782137984640 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 10782137984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353649168160).

10782137984640 is an abundant number, since it is smaller than the sum of its proper divisors (29925160351680).

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

10782137984640 is a wasteful number, since it uses less digits than its factorization.

10782137984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 10782137984640 in words is "ten trillion, seven hundred eighty-two billion, one hundred thirty-seven million, nine hundred eighty-four thousand, six hundred forty".