10145647760 has 160 divisors (see below), whose sum is σ = 25726353408. Its totient is φ = 3709601280.

The previous prime is 10145647717. The next prime is 10145647763. The reversal of 10145647760 is 6774654101.

It is not an unprimeable number, because it can be changed into a prime (10145647763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4733249 + ... + 4735391.

Almost surely, 2^10145647760 is an apocalyptic number.

10145647760 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 10145647760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863176704).

10145647760 is an abundant number, since it is smaller than the sum of its proper divisors (15580705648).

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

10145647760 is a wasteful number, since it uses less digits than its factorization.

10145647760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 10145647760 in words is "ten billion, one hundred forty-five million, six hundred forty-seven thousand, seven hundred sixty".