10761778824720 has 960 divisors, whose sum is σ = 43034525614080. Its totient is φ = 2199575347200.

The previous prime is 10761778824683. The next prime is 10761778824721. The reversal of 10761778824720 is 2742887716701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10761778824721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2587586001 + ... + 2587590159.

It is an arithmetic number, because the mean of its divisors is an integer number (44827630848).

Almost surely, 2^{10761778824720} is an apocalyptic number.

10761778824720 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 10761778824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517262807040).

10761778824720 is an abundant number, since it is smaller than the sum of its proper divisors (32272746789360).

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

10761778824720 is a wasteful number, since it uses less digits than its factorization.

10761778824720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 60.

The spelling of 10761778824720 in words is "ten trillion, seven hundred sixty-one billion, seven hundred seventy-eight million, eight hundred twenty-four thousand, seven hundred twenty".