5061591198144 has 2016 divisors, whose sum is σ = 18269755305984. Its totient is φ = 1383466106880.

The previous prime is 5061591198127. The next prime is 5061591198163. The reversal of 5061591198144 is 4418911951605.

5061591198144 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 591 + 1 + 9 + 8 + 1 + 44 = 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 287 ways as a sum of consecutive naturals, for example, 69336865692 + ... + 69336865764.

It is an arithmetic number, because the mean of its divisors is an integer number (9062378624).

Almost surely, 2^{5061591198144} is an apocalyptic number.

5061591198144 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 5061591198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134877652992).

5061591198144 is an abundant number, since it is smaller than the sum of its proper divisors (13208164107840).

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

5061591198144 is a wasteful number, since it uses less digits than its factorization.

5061591198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 5061591198144 in words is "five trillion, sixty-one billion, five hundred ninety-one million, one hundred ninety-eight thousand, one hundred forty-four".