10924056000 has 672 divisors, whose sum is σ = 45952111296. Its totient is φ = 2442240000.

The previous prime is 10924055983. The next prime is 10924056001. The reversal of 10924056000 is 65042901.

10924056000 is a `hidden beast` number, since 10 + 9 + 2 + 40 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×10924056000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10924056001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10295470 + ... + 10296530.

It is an arithmetic number, because the mean of its divisors is an integer number (68381118).

Almost surely, 2^10924056000 is an apocalyptic number.

10924056000 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 10924056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976055648).

10924056000 is an abundant number, since it is smaller than the sum of its proper divisors (35028055296).

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

10924056000 is a wasteful number, since it uses less digits than its factorization.

10924056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10924056000 its reverse (65042901), we get a palindrome (10989098901).

The spelling of 10924056000 in words is "ten billion, nine hundred twenty-four million, fifty-six thousand".