10800010755072 has 3696 divisors, whose sum is σ = 45706804684800. Its totient is φ = 2483144294400.

The previous prime is 10800010755029. The next prime is 10800010755089. The reversal of 10800010755072 is 27055701000801.

10800010755072 is a `hidden beast` number, since 1 + 0 + 80 + 0 + 0 + 1 + 0 + 75 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 348387443697 + ... + 348387443727.

Almost surely, 2^{10800010755072} is an apocalyptic number.

10800010755072 is a gapful number since it is divisible by the number (12) 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 10800010755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22853402342400).

10800010755072 is an abundant number, since it is smaller than the sum of its proper divisors (34906793929728).

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

10800010755072 is a wasteful number, since it uses less digits than its factorization.

10800010755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

Adding to 10800010755072 its reverse (27055701000801), we get a palindrome (37855711755873).

The spelling of 10800010755072 in words is "ten trillion, eight hundred billion, ten million, seven hundred fifty-five thousand, seventy-two".