51657121316160 has 672 divisors, whose sum is σ = 183544834636800. Its totient is φ = 13329954570240.

The previous prime is 51657121316153. The next prime is 51657121316189. The reversal of 51657121316160 is 6161312175615.

51657121316160 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 7 + 1 + 21 + 3 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2493214281 + ... + 2493234999.

It is an arithmetic number, because the mean of its divisors is an integer number (273132194400).

Almost surely, 2^{51657121316160} 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 51657121316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91772417318400).

51657121316160 is an abundant number, since it is smaller than the sum of its proper divisors (131887713320640).

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

51657121316160 is a wasteful number, since it uses less digits than its factorization.

51657121316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21026 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 51657121316160 in words is "fifty-one trillion, six hundred fifty-seven billion, one hundred twenty-one million, three hundred sixteen thousand, one hundred sixty".