10820272320 has 1008 divisors, whose sum is σ = 45943552512. Its totient is φ = 2314690560.

The previous prime is 10820272297. The next prime is 10820272349. The reversal of 10820272320 is 2327202801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230218537 + ... + 230218583.

Almost surely, 2^10820272320 is an apocalyptic number.

10820272320 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 10820272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971776256).

10820272320 is an abundant number, since it is smaller than the sum of its proper divisors (35123280192).

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

10820272320 is a wasteful number, since it uses less digits than its factorization.

10820272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10820272320 in words is "ten billion, eight hundred twenty million, two hundred seventy-two thousand, three hundred twenty".