51464983686480 has 4320 divisors, whose sum is σ = 243156924960768. Its totient is φ = 9650401689600.

The previous prime is 51464983686371. The next prime is 51464983686527. The reversal of 51464983686480 is 8468638946415.

It is a happy number.

51464983686480 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 4 + 9 + 83 + 68 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51464983686399 and 51464983686408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 189907688745 + ... + 189907689015.

Almost surely, 2^{51464983686480} 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 51464983686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121578462480384).

51464983686480 is an abundant number, since it is smaller than the sum of its proper divisors (191691941274288).

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

51464983686480 is a wasteful number, since it uses less digits than its factorization.

51464983686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 51464983686480 in words is "fifty-one trillion, four hundred sixty-four billion, nine hundred eighty-three million, six hundred eighty-six thousand, four hundred eighty".