51678834480 has 1440 divisors, whose sum is σ = 235505926656. Its totient is φ = 9902850048.

The previous prime is 51678834451. The next prime is 51678834517. The reversal of 51678834480 is 8443887615.

51678834480 is a `hidden beast` number, since 5 + 16 + 78 + 83 + 4 + 480 = 666.

It is a super-2 number, since 2×51678834480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 622636519 + ... + 622636601.

Almost surely, 2^51678834480 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 51678834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117752963328).

51678834480 is an abundant number, since it is smaller than the sum of its proper divisors (183827092176).

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

51678834480 is a wasteful number, since it uses less digits than its factorization.

51678834480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 51678834480 in words is "fifty-one billion, six hundred seventy-eight million, eight hundred thirty-four thousand, four hundred eighty".