10929953280 has 320 divisors, whose sum is σ = 37334753280. Its totient is φ = 2721202176.

The previous prime is 10929953273. The next prime is 10929953329. The reversal of 10929953280 is 8235992901.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7594801 + ... + 7596239.

It is an arithmetic number, because the mean of its divisors is an integer number (116671104).

Almost surely, 2^10929953280 is an apocalyptic number.

10929953280 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 10929953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667376640).

10929953280 is an abundant number, since it is smaller than the sum of its proper divisors (26404800000).

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

10929953280 is a wasteful number, since it uses less digits than its factorization.

10929953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 10929953280 in words is "ten billion, nine hundred twenty-nine million, nine hundred fifty-three thousand, two hundred eighty".