10678780800 has 576 divisors, whose sum is σ = 40882383360. Its totient is φ = 2749593600.

The previous prime is 10678780793. The next prime is 10678780817. The reversal of 10678780800 is 808787601.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10678780800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24105379 + ... + 24105821.

It is an arithmetic number, because the mean of its divisors is an integer number (70976360).

Almost surely, 2^10678780800 is an apocalyptic number.

10678780800 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 10678780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441191680).

10678780800 is an abundant number, since it is smaller than the sum of its proper divisors (30203602560).

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

10678780800 is an equidigital number, since it uses as much as digits as its factorization.

10678780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 10678780800 in words is "ten billion, six hundred seventy-eight million, seven hundred eighty thousand, eight hundred".