51549662127744 has 2560 divisors, whose sum is σ = 186814072811520. Its totient is φ = 13948526592000.

The previous prime is 51549662127737. The next prime is 51549662127773. The reversal of 51549662127744 is 44772126694515.

51549662127744 is a `hidden beast` number, since 5 + 1 + 5 + 496 + 62 + 12 + 7 + 74 + 4 = 666.

It is a super-3 number, since 3×51549662127744³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 328341796914 + ... + 328341797070.

It is an arithmetic number, because the mean of its divisors is an integer number (72974247192).

Almost surely, 2^{51549662127744} is an apocalyptic number.

51549662127744 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 51549662127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93407036405760).

51549662127744 is an abundant number, since it is smaller than the sum of its proper divisors (135264410683776).

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

51549662127744 is a wasteful number, since it uses less digits than its factorization.

51549662127744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 51549662127744 in words is "fifty-one trillion, five hundred forty-nine billion, six hundred sixty-two million, one hundred twenty-seven thousand, seven hundred forty-four".