51105760398144 has 448 divisors, whose sum is σ = 162296197632000. Its totient is φ = 15721407313920.

The previous prime is 51105760398101. The next prime is 51105760398179. The reversal of 51105760398144 is 44189306750115.

51105760398144 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 57 + 60 + 398 + 144 = 666.

It is a super-2 number, since 2×51105760398144² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1681593189 + ... + 1681623579.

Almost surely, 2^{51105760398144} is an apocalyptic number.

51105760398144 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 51105760398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81148098816000).

51105760398144 is an abundant number, since it is smaller than the sum of its proper divisors (111190437233856).

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

51105760398144 is a wasteful number, since it uses less digits than its factorization.

51105760398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31923 (or 31907 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 51105760398144 in words is "fifty-one trillion, one hundred five billion, seven hundred sixty million, three hundred ninety-eight thousand, one hundred forty-four".