6100000560 has 240 divisors, whose sum is σ = 21401621280. Its totient is φ = 1555476480.

The previous prime is 6100000507. The next prime is 6100000561. The reversal of 6100000560 is 650000016.

6100000560 is a `hidden beast` number, since 6 + 100 + 0 + 0 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6100000561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1569820 + ... + 1573700.

It is an arithmetic number, because the mean of its divisors is an integer number (89173422).

Almost surely, 2^6100000560 is an apocalyptic number.

6100000560 is a gapful number since it is divisible by the number (60) 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 6100000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700810640).

6100000560 is an abundant number, since it is smaller than the sum of its proper divisors (15301620720).

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

6100000560 is a wasteful number, since it uses less digits than its factorization.

6100000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6100000560 is about 78102.5003440991. The cubic root of 6100000560 is about 1827.1601927766.

Adding to 6100000560 its reverse (650000016), we get a palindrome (6750000576).

The spelling of 6100000560 in words is "six billion, one hundred million, five hundred sixty", and thus it is an aban number.