51433574400 has 1092 divisors, whose sum is σ = 209816953668. Its totient is φ = 12421693440.

The previous prime is 51433574371. The next prime is 51433574407. The reversal of 51433574400 is 447533415.

51433574400 is a `hidden beast` number, since 5 + 1 + 43 + 3 + 574 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2511212544 + 48922361856 = 50112^2 + 221184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51433574407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 970444774 + ... + 970444826.

Almost surely, 2^51433574400 is an apocalyptic number.

51433574400 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 51433574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104908476834).

51433574400 is an abundant number, since it is smaller than the sum of its proper divisors (158383379268).

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

51433574400 is an equidigital number, since it uses as much as digits as its factorization.

51433574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 51433574400 in words is "fifty-one billion, four hundred thirty-three million, five hundred seventy-four thousand, four hundred".