10820605614 has 192 divisors, whose sum is σ = 28172132352. Its totient is φ = 2743372800.

The previous prime is 10820605591. The next prime is 10820605619. The reversal of 10820605614 is 41650602801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820605619) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32108454 + ... + 32108790.

It is an arithmetic number, because the mean of its divisors is an integer number (146729856).

Almost surely, 2^10820605614 is an apocalyptic number.

10820605614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10820605614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086066176).

10820605614 is an abundant number, since it is smaller than the sum of its proper divisors (17351526738).

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

10820605614 is a wasteful number, since it uses less digits than its factorization.

10820605614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10820605614 in words is "ten billion, eight hundred twenty million, six hundred five thousand, six hundred fourteen".