51457651056 has 480 divisors, whose sum is σ = 182863296000. Its totient is φ = 13774344192.

The previous prime is 51457651031. The next prime is 51457651057. The reversal of 51457651056 is 65015675415.

It is a happy number.

51457651056 is a `hidden beast` number, since 5 + 14 + 5 + 76 + 510 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51457651057) 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, 39011965 + ... + 39013283.

It is an arithmetic number, because the mean of its divisors is an integer number (380965200).

Almost surely, 2^51457651056 is an apocalyptic number.

51457651056 is a gapful number since it is divisible by the number (56) 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 51457651056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91431648000).

51457651056 is an abundant number, since it is smaller than the sum of its proper divisors (131405644944).

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

51457651056 is a wasteful number, since it uses less digits than its factorization.

51457651056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 51457651056 in words is "fifty-one billion, four hundred fifty-seven million, six hundred fifty-one thousand, fifty-six".