10320821280 has 1536 divisors, whose sum is σ = 50164531200. Its totient is φ = 1916006400.

The previous prime is 10320821279. The next prime is 10320821317. The reversal of 10320821280 is 8212802301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 145363645 + ... + 145363715.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 2^10320821280 is an apocalyptic number.

10320821280 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 10320821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082265600).

10320821280 is an abundant number, since it is smaller than the sum of its proper divisors (39843709920).

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

10320821280 is a wasteful number, since it uses less digits than its factorization.

10320821280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10320821280 in words is "ten billion, three hundred twenty million, eight hundred twenty-one thousand, two hundred eighty".