10921296960 has 448 divisors, whose sum is σ = 44242329600. Its totient is φ = 2484393984.

The previous prime is 10921296959. The next prime is 10921297001. The reversal of 10921296960 is 6969212901.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 21712069 + ... + 21712571.

It is an arithmetic number, because the mean of its divisors is an integer number (98755200).

Almost surely, 2^10921296960 is an apocalyptic number.

10921296960 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 10921296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121164800).

10921296960 is an abundant number, since it is smaller than the sum of its proper divisors (33321032640).

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

10921296960 is a wasteful number, since it uses less digits than its factorization.

10921296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10921296960 in words is "ten billion, nine hundred twenty-one million, two hundred ninety-six thousand, nine hundred sixty".