10006062560 has 96 divisors (see below), whose sum is σ = 26335743840. Its totient is φ = 3567126528.

The previous prime is 10006062557. The next prime is 10006062569. The reversal of 10006062560 is 6526060001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006062569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22622 + ... + 143261.

It is an arithmetic number, because the mean of its divisors is an integer number (274330665).

Almost surely, 2^10006062560 is an apocalyptic number.

10006062560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006062560 is an abundant number, since it is smaller than the sum of its proper divisors (16329681280).

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

10006062560 is a wasteful number, since it uses less digits than its factorization.

10006062560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165940 (or 165932 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 10006062560 in words is "ten billion, six million, sixty-two thousand, five hundred sixty".