10859650560 has 840 divisors, whose sum is σ = 44519822424. Its totient is φ = 2518179840.

The previous prime is 10859650531. The next prime is 10859650577. The reversal of 10859650560 is 6505695801.

It is a happy number.

10859650560 is a `hidden beast` number, since 1 + 0 + 8 + 596 + 5 + 0 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 472158709 + ... + 472158731.

Almost surely, 2^10859650560 is an apocalyptic number.

10859650560 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 10859650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259911212).

10859650560 is an abundant number, since it is smaller than the sum of its proper divisors (33660171864).

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

10859650560 is an frugal number, since it uses more digits than its factorization.

10859650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 10859650560 in words is "ten billion, eight hundred fifty-nine million, six hundred fifty thousand, five hundred sixty".