10920268800 has 1056 divisors, whose sum is σ = 47841501440. Its totient is φ = 2388787200.

The previous prime is 10920268787. The next prime is 10920268817. The reversal of 10920268800 is 886202901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179020770 + ... + 179020830.

Almost surely, 2^10920268800 is an apocalyptic number.

10920268800 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 10920268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920750720).

10920268800 is an abundant number, since it is smaller than the sum of its proper divisors (36921232640).

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

10920268800 is a wasteful number, since it uses less digits than its factorization.

10920268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10920268800 in words is "ten billion, nine hundred twenty million, two hundred sixty-eight thousand, eight hundred".