6101410560 has 576 divisors, whose sum is σ = 23735255040. Its totient is φ = 1305722880.

The previous prime is 6101410559. The next prime is 6101410639. The reversal of 6101410560 is 650141016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6101410560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43894971 + ... + 43895109.

It is an arithmetic number, because the mean of its divisors is an integer number (41207040).

Almost surely, 2^6101410560 is an apocalyptic number.

6101410560 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 6101410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867627520).

6101410560 is an abundant number, since it is smaller than the sum of its proper divisors (17633844480).

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

6101410560 is a wasteful number, since it uses less digits than its factorization.

6101410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 6101410560 is about 78111.5264221613. The cubic root of 6101410560 is about 1827.3009631132.

Adding to 6101410560 its reverse (650141016), we get a palindrome (6751551576).

The spelling of 6101410560 in words is "six billion, one hundred one million, four hundred ten thousand, five hundred sixty".