10820496960 has 1344 divisors, whose sum is σ = 50325649920. Its totient is φ = 2070282240.

The previous prime is 10820496937. The next prime is 10820496997. The reversal of 10820496960 is 6969402801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10820496960² (a number of 21 digits) contains 22 as substring.

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

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, 204160294 + ... + 204160346.

It is an arithmetic number, because the mean of its divisors is an integer number (37444680).

Almost surely, 2^10820496960 is an apocalyptic number.

10820496960 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 10820496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162824960).

10820496960 is an abundant number, since it is smaller than the sum of its proper divisors (39505152960).

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

10820496960 is a wasteful number, since it uses less digits than its factorization.

10820496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10820496960 in words is "ten billion, eight hundred twenty million, four hundred ninety-six thousand, nine hundred sixty".