10816092000 has 960 divisors, whose sum is σ = 47948060160. Its totient is φ = 2332800000.

The previous prime is 10816091959. The next prime is 10816092011. The reversal of 10816092000 is 29061801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43091875 + ... + 43092125.

It is an arithmetic number, because the mean of its divisors is an integer number (49945896).

Almost surely, 2^10816092000 is an apocalyptic number.

10816092000 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 10816092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974030080).

10816092000 is an abundant number, since it is smaller than the sum of its proper divisors (37131968160).

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

10816092000 is a wasteful number, since it uses less digits than its factorization.

10816092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10816092000 in words is "ten billion, eight hundred sixteen million, ninety-two thousand".