51894661029120 has 6912 divisors, whose sum is σ = 259188985036800. Its totient is φ = 9832248115200.

The previous prime is 51894661029077. The next prime is 51894661029187. The reversal of 51894661029120 is 2192016649815.

51894661029120 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 4 + 6 + 610 + 2 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 767 ways as a sum of consecutive naturals, for example, 730910718685 + ... + 730910718755.

It is an arithmetic number, because the mean of its divisors is an integer number (37498406400).

Almost surely, 2^{51894661029120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51894661029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129594492518400).

51894661029120 is an abundant number, since it is smaller than the sum of its proper divisors (207294324007680).

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

51894661029120 is a wasteful number, since it uses less digits than its factorization.

51894661029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 51894661029120 in words is "fifty-one trillion, eight hundred ninety-four billion, six hundred sixty-one million, twenty-nine thousand, one hundred twenty".