10823472000 has 384 divisors, whose sum is σ = 42409617120. Its totient is φ = 2623488000.

The previous prime is 10823471983. The next prime is 10823472001. The reversal of 10823472000 is 27432801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10823472000² (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 (10823472001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1580584 + ... + 1587416.

Almost surely, 2^10823472000 is an apocalyptic number.

10823472000 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 10823472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204808560).

10823472000 is an abundant number, since it is smaller than the sum of its proper divisors (31586145120).

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

10823472000 is a wasteful number, since it uses less digits than its factorization.

10823472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10823472000 in words is "ten billion, eight hundred twenty-three million, four hundred seventy-two thousand".