51482667398400 has 5832 divisors, whose sum is σ = 248039972238240. Its totient is φ = 10496928153600.

The previous prime is 51482667398387. The next prime is 51482667398401. The reversal of 51482667398400 is 489376628415.

51482667398400 is a `hidden beast` number, since 5 + 1 + 4 + 82 + 6 + 67 + 3 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51482667398401) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 1391423443182 + ... + 1391423443218.

It is a 2-persistent number, because it is pandigital, and so is 2⋅51482667398400 = 102965334796800, but 3⋅51482667398400 = 154448002195200 is not.

Almost surely, 2^{51482667398400} is an apocalyptic number.

51482667398400 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 51482667398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124019986119120).

51482667398400 is an abundant number, since it is smaller than the sum of its proper divisors (196557304839840).

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

51482667398400 is a wasteful number, since it uses less digits than its factorization.

51482667398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 51482667398400 in words is "fifty-one trillion, four hundred eighty-two billion, six hundred sixty-seven million, three hundred ninety-eight thousand, four hundred".