10120030782064 has 160 divisors (see below), whose sum is σ = 23730570432000. Its totient is φ = 4084078205952.

The previous prime is 10120030782061. The next prime is 10120030782089. The reversal of 10120030782064 is 46028703002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120030782061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108068442 + ... + 1108077574.

It is an arithmetic number, because the mean of its divisors is an integer number (148316065200).

Almost surely, 2^{10120030782064} is an apocalyptic number.

10120030782064 is a gapful number since it is divisible by the number (14) 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 10120030782064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865285216000).

10120030782064 is an abundant number, since it is smaller than the sum of its proper divisors (13610539649936).

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

10120030782064 is a wasteful number, since it uses less digits than its factorization.

10120030782064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 10120030782064 its reverse (46028703002101), we get a palindrome (56148733784165).

The spelling of 10120030782064 in words is "ten trillion, one hundred twenty billion, thirty million, seven hundred eighty-two thousand, sixty-four".