10763398800 has 1080 divisors, whose sum is σ = 49772573280. Its totient is φ = 2184537600.

The previous prime is 10763398799. The next prime is 10763398813. The reversal of 10763398800 is 889336701.

It is a happy number.

10763398800 is a `hidden beast` number, since 1 + 0 + 7 + 633 + 9 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 250311579 + ... + 250311621.

It is an arithmetic number, because the mean of its divisors is an integer number (46085716).

Almost surely, 2^10763398800 is an apocalyptic number.

10763398800 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 10763398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886286640).

10763398800 is an abundant number, since it is smaller than the sum of its proper divisors (39009174480).

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

10763398800 is a wasteful number, since it uses less digits than its factorization.

10763398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10763398800 in words is "ten billion, seven hundred sixty-three million, three hundred ninety-eight thousand, eight hundred".