10804516800 has 1344 divisors, whose sum is σ = 48764878848. Its totient is φ = 2027520000.

The previous prime is 10804516781. The next prime is 10804516817. The reversal of 10804516800 is 861540801.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263524780 + ... + 263524820.

It is an arithmetic number, because the mean of its divisors is an integer number (36283392).

Almost surely, 2^10804516800 is an apocalyptic number.

10804516800 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 10804516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382439424).

10804516800 is an abundant number, since it is smaller than the sum of its proper divisors (37960362048).

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

10804516800 is a wasteful number, since it uses less digits than its factorization.

10804516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 10804516800 in words is "ten billion, eight hundred four million, five hundred sixteen thousand, eight hundred".