51457351680 has 1344 divisors, whose sum is σ = 231763092480. Its totient is φ = 10588520448.

The previous prime is 51457351667. The next prime is 51457351681. The reversal of 51457351680 is 8615375415.

51457351680 is a `hidden beast` number, since 5 + 1 + 4 + 57 + 3 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51457351681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2237276149 + ... + 2237276171.

Almost surely, 2^51457351680 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 51457351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115881546240).

51457351680 is an abundant number, since it is smaller than the sum of its proper divisors (180305740800).

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

51457351680 is a wasteful number, since it uses less digits than its factorization.

51457351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

It can be divided in two parts, 5145735 and 1680, that added together give a palindrome (5147415).

The spelling of 51457351680 in words is "fifty-one billion, four hundred fifty-seven million, three hundred fifty-one thousand, six hundred eighty".