10763864995800 has 576 divisors, whose sum is σ = 39072566695680. Its totient is φ = 2451241981440.

The previous prime is 10763864995783. The next prime is 10763864995811. The reversal of 10763864995800 is 859946836701.

10763864995800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2954668779 + ... + 2954672421.

It is an arithmetic number, because the mean of its divisors is an integer number (67834317180).

Almost surely, 2^{10763864995800} is an apocalyptic number.

10763864995800 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 10763864995800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536283347840).

10763864995800 is an abundant number, since it is smaller than the sum of its proper divisors (28308701699880).

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

10763864995800 is an equidigital number, since it uses as much as digits as its factorization.

10763864995800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 10763864995800 in words is "ten trillion, seven hundred sixty-three billion, eight hundred sixty-four million, nine hundred ninety-five thousand, eight hundred".