10535506420560 has 160 divisors (see below), whose sum is σ = 35638238435328. Its totient is φ = 2553411893760.

The previous prime is 10535506420511. The next prime is 10535506420573. The reversal of 10535506420560 is 6502460553501.

It is a super-2 number, since 2×10535506420560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9903469 + ... + 10915571.

Almost surely, 2^{10535506420560} is an apocalyptic number.

10535506420560 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 10535506420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819119217664).

10535506420560 is an abundant number, since it is smaller than the sum of its proper divisors (25102732014768).

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

10535506420560 is a wasteful number, since it uses less digits than its factorization.

10535506420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016073 (or 1016067 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 10535506420560 in words is "ten trillion, five hundred thirty-five billion, five hundred six million, four hundred twenty thousand, five hundred sixty".