10760848650000 has 960 divisors, whose sum is σ = 40015338854400. Its totient is φ = 2765664000000.

The previous prime is 10760848649983. The next prime is 10760848650023. The reversal of 10760848650000 is 5684806701.

It is a happy number.

10760848650000 is a `hidden beast` number, since 1 + 0 + 7 + 60 + 8 + 4 + 86 + 500 + 0 + 0 = 666.

10760848650000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 16279649670 + ... + 16279650330.

It is an arithmetic number, because the mean of its divisors is an integer number (41682644640).

Almost surely, 2^{10760848650000} is an apocalyptic number.

10760848650000 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 10760848650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007669427200).

10760848650000 is an abundant number, since it is smaller than the sum of its proper divisors (29254490204400).

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

10760848650000 is an equidigital number, since it uses as much as digits as its factorization.

10760848650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10760848650000 in words is "ten trillion, seven hundred sixty billion, eight hundred forty-eight million, six hundred fifty thousand".