51574320000 has 960 divisors, whose sum is σ = 220376956800. Its totient is φ = 11757312000.

The previous prime is 51574319999. The next prime is 51574320023. The reversal of 51574320000 is 2347515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×51574320000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136079811 + ... + 136080189.

It is an arithmetic number, because the mean of its divisors is an integer number (229559330).

Almost surely, 2^51574320000 is an apocalyptic number.

51574320000 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 51574320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110188478400).

51574320000 is an abundant number, since it is smaller than the sum of its proper divisors (168802636800).

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

51574320000 is an frugal number, since it uses more digits than its factorization.

51574320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 51574320000 its reverse (2347515), we get a palindrome (51576667515).

The spelling of 51574320000 in words is "fifty-one billion, five hundred seventy-four million, three hundred twenty thousand".