10820137328 has 480 divisors, whose sum is σ = 31442987520. Its totient is φ = 3471206400.

The previous prime is 10820137313. The next prime is 10820137357. The reversal of 10820137328 is 82373102801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292436126 + ... + 292436162.

It is an arithmetic number, because the mean of its divisors is an integer number (65506224).

Almost surely, 2^10820137328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10820137328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721493760).

10820137328 is an abundant number, since it is smaller than the sum of its proper divisors (20622850192).

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

10820137328 is a wasteful number, since it uses less digits than its factorization.

10820137328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 10820137328 in words is "ten billion, eight hundred twenty million, one hundred thirty-seven thousand, three hundred twenty-eight".