51482911334400 has 2016 divisors, whose sum is σ = 228298875936768. Its totient is φ = 10798733721600.

The previous prime is 51482911334399. The next prime is 51482911334401. The reversal of 51482911334400 is 443311928415.

51482911334400 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 291 + 13 + 344 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51482911334399) and next prime (51482911334401).

It is a tau number, because it is divible by the number of its divisors (2016).

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 (51482911334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32036658397 + ... + 32036660003.

It is an arithmetic number, because the mean of its divisors is an integer number (113243490048).

Almost surely, 2^{51482911334400} is an apocalyptic number.

51482911334400 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 51482911334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114149437968384).

51482911334400 is an abundant number, since it is smaller than the sum of its proper divisors (176815964602368).

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

51482911334400 is a wasteful number, since it uses less digits than its factorization.

51482911334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 51482911334400 in words is "fifty-one trillion, four hundred eighty-two billion, nine hundred eleven million, three hundred thirty-four thousand, four hundred".