10477765760 has 256 divisors, whose sum is σ = 31435257600. Its totient is φ = 3244277760.

The previous prime is 10477765757. The next prime is 10477765777. The reversal of 10477765760 is 6756777401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10477765699 and 10477765708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8524826 + ... + 8526054.

It is an arithmetic number, because the mean of its divisors is an integer number (122793975).

Almost surely, 2^10477765760 is an apocalyptic number.

10477765760 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 10477765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717628800).

10477765760 is an abundant number, since it is smaller than the sum of its proper divisors (20957491840).

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

10477765760 is a wasteful number, since it uses less digits than its factorization.

10477765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 50.

The spelling of 10477765760 in words is "ten billion, four hundred seventy-seven million, seven hundred sixty-five thousand, seven hundred sixty".