10921996800 has 1440 divisors, whose sum is σ = 50142058560. Its totient is φ = 2300313600.

The previous prime is 10921996777. The next prime is 10921996823. The reversal of 10921996800 is 869912901.

It is an interprime number because it is at equal distance from previous prime (10921996777) and next prime (10921996823).

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 642470392 + ... + 642470408.

It is an arithmetic number, because the mean of its divisors is an integer number (34820874).

Almost surely, 2^10921996800 is an apocalyptic number.

10921996800 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 10921996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071029280).

10921996800 is an abundant number, since it is smaller than the sum of its proper divisors (39220061760).

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

10921996800 is a wasteful number, since it uses less digits than its factorization.

10921996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 10921996800 in words is "ten billion, nine hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".