10261563570 has 80 divisors (see below), whose sum is σ = 27644386968. Its totient is φ = 2731242240.

The previous prime is 10261563523. The next prime is 10261563581. The reversal of 10261563570 is 7536516201.

10261563570 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 15 + 635 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7419927321 + 2841636249 = 86139^2 + 53307^2 .

It is a super-2 number, since 2×10261563570² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426502 + ... + 449918.

Almost surely, 2^10261563570 is an apocalyptic number.

10261563570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10261563570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822193484).

10261563570 is an abundant number, since it is smaller than the sum of its proper divisors (17382823398).

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

10261563570 is a wasteful number, since it uses less digits than its factorization.

10261563570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23977 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10261563570 in words is "ten billion, two hundred sixty-one million, five hundred sixty-three thousand, five hundred seventy".