5061569409144 has 160 divisors (see below), whose sum is σ = 14481722376000. Its totient is φ = 1650949862400.

The previous prime is 5061569409137. The next prime is 5061569409157. The reversal of 5061569409144 is 4419049651605.

5061569409144 is a `hidden beast` number, since 5 + 0 + 61 + 569 + 4 + 0 + 9 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176660932 + ... + 176689580.

It is an arithmetic number, because the mean of its divisors is an integer number (90510764850).

Almost surely, 2^{5061569409144} is an apocalyptic number.

5061569409144 is a gapful number since it is divisible by the number (54) 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 5061569409144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240861188000).

5061569409144 is an abundant number, since it is smaller than the sum of its proper divisors (9420152966856).

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

5061569409144 is a wasteful number, since it uses less digits than its factorization.

5061569409144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34515 (or 34502 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5061569409144 in words is "five trillion, sixty-one billion, five hundred sixty-nine million, four hundred nine thousand, one hundred forty-four".