10747779120 has 240 divisors, whose sum is σ = 39013752960. Its totient is φ = 2635905024.

The previous prime is 10747779113. The next prime is 10747779121. The reversal of 10747779120 is 2197774701.

10747779120 is a `hidden beast` number, since 107 + 477 + 79 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (10747779121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2740521 + ... + 2744439.

It is an arithmetic number, because the mean of its divisors is an integer number (162557304).

Almost surely, 2^10747779120 is an apocalyptic number.

10747779120 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 10747779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506876480).

10747779120 is an abundant number, since it is smaller than the sum of its proper divisors (28265973840).

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

10747779120 is a wasteful number, since it uses less digits than its factorization.

10747779120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 10747779120 in words is "ten billion, seven hundred forty-seven million, seven hundred seventy-nine thousand, one hundred twenty".