10485777312 has 144 divisors (see below), whose sum is σ = 31008617640. Its totient is φ = 3357075456.

The previous prime is 10485777271. The next prime is 10485777317. The reversal of 10485777312 is 21377758401.

10485777312 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 577 + 73 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10338008976 + 147768336 = 101676^2 + 12156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10485777317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642158 + ... + 1648530.

Almost surely, 2^10485777312 is an apocalyptic number.

10485777312 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 10485777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504308820).

10485777312 is an abundant number, since it is smaller than the sum of its proper divisors (20522840328).

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

10485777312 is a wasteful number, since it uses less digits than its factorization.

10485777312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6615 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10485777312 in words is "ten billion, four hundred eighty-five million, seven hundred seventy-seven thousand, three hundred twelve".