10057705736 has 64 divisors (see below), whose sum is σ = 21019506480. Its totient is φ = 4481925120.

The previous prime is 10057705729. The next prime is 10057705741. The reversal of 10057705736 is 63750775001.

It can be written as a sum of positive squares in 8 ways, for example, as 1354681636 + 8703024100 = 36806^2 + 93290^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 10057705693 and 10057705702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401450 + ... + 425766.

Almost surely, 2^10057705736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057705736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10509753240).

10057705736 is an abundant number, since it is smaller than the sum of its proper divisors (10961800744).

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

10057705736 is a wasteful number, since it uses less digits than its factorization.

10057705736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24474 (or 24470 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 41.

The spelling of 10057705736 in words is "ten billion, fifty-seven million, seven hundred five thousand, seven hundred thirty-six".