10510061005600 has 72 divisors (see below), whose sum is σ = 27631354644180. Its totient is φ = 3880637905920.

The previous prime is 10510061005579. The next prime is 10510061005601. The reversal of 10510061005600 is 650016001501.

It can be written as a sum of positive squares in 6 ways, for example, as 104610846096 + 10405450159504 = 323436^2 + 3225748^2 .

It is a super-2 number, since 2×10510061005600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10510061005601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505280995 + ... + 505301794.

Almost surely, 2^{10510061005600} is an apocalyptic number.

10510061005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510061005600 is an abundant number, since it is smaller than the sum of its proper divisors (17121293638580).

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

10510061005600 is a wasteful number, since it uses less digits than its factorization.

10510061005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010582822 (or 1010582809 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10510061005600 in words is "ten trillion, five hundred ten billion, sixty-one million, five thousand, six hundred".