51663794477400 has 1728 divisors, whose sum is σ = 217882397491200. Its totient is φ = 10906866432000.

The previous prime is 51663794477359. The next prime is 51663794477417. The reversal of 51663794477400 is 477449736615.

It is a happy number.

51663794477400 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 37 + 94 + 477 + 40 + 0 = 666.

It is a super-2 number, since 2×51663794477400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 52132990905 + ... + 52132991895.

It is an arithmetic number, because the mean of its divisors is an integer number (126089350400).

Almost surely, 2^{51663794477400} is an apocalyptic number.

51663794477400 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 51663794477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108941198745600).

51663794477400 is an abundant number, since it is smaller than the sum of its proper divisors (166218603013800).

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

51663794477400 is a wasteful number, since it uses less digits than its factorization.

51663794477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 51663794477400 in words is "fifty-one trillion, six hundred sixty-three billion, seven hundred ninety-four million, four hundred seventy-seven thousand, four hundred".