10804281566400 has 1008 divisors, whose sum is σ = 45176015978496. Its totient is φ = 2397841367040.

The previous prime is 10804281566371. The next prime is 10804281566443. The reversal of 10804281566400 is 466518240801.

It is a happy number.

10804281566400 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 4 + 2 + 81 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 601666222 + ... + 601684178.

Almost surely, 2^{10804281566400} is an apocalyptic number.

10804281566400 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 10804281566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588007989248).

10804281566400 is an abundant number, since it is smaller than the sum of its proper divisors (34371734412096).

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

10804281566400 is a wasteful number, since it uses less digits than its factorization.

10804281566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18166 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10804281566400 in words is "ten trillion, eight hundred four billion, two hundred eighty-one million, five hundred sixty-six thousand, four hundred".