51657901747200 has 2376 divisors, whose sum is σ = 225376587006480. Its totient is φ = 11257085952000.

The previous prime is 51657901747163. The next prime is 51657901747201. The reversal of 51657901747200 is 274710975615.

51657901747200 is a `hidden beast` number, since 5 + 1 + 6 + 579 + 0 + 1 + 7 + 47 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (51657901747201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27174066250 + ... + 27174068150.

Almost surely, 2^{51657901747200} is an apocalyptic number.

51657901747200 is a gapful number since it is divisible by the number (50) 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 51657901747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112688293503240).

51657901747200 is an abundant number, since it is smaller than the sum of its proper divisors (173718685259280).

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

51657901747200 is a wasteful number, since it uses less digits than its factorization.

51657901747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 51657901747200 in words is "fifty-one trillion, six hundred fifty-seven billion, nine hundred one million, seven hundred forty-seven thousand, two hundred".