10820135728080 has 960 divisors, whose sum is σ = 44277153223680. Its totient is φ = 2311581597696.

The previous prime is 10820135728019. The next prime is 10820135728123. The reversal of 10820135728080 is 8082753102801.

10820135728080 is a `hidden beast` number, since 10 + 8 + 2 + 0 + 1 + 357 + 280 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10723622616 + ... + 10723623624.

It is an arithmetic number, because the mean of its divisors is an integer number (46122034608).

Almost surely, 2^{10820135728080} is an apocalyptic number.

10820135728080 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 10820135728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138576611840).

10820135728080 is an abundant number, since it is smaller than the sum of its proper divisors (33457017495600).

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

10820135728080 is a wasteful number, since it uses less digits than its factorization.

10820135728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10820135728080 in words is "ten trillion, eight hundred twenty billion, one hundred thirty-five million, seven hundred twenty-eight thousand, eighty".