51009270480 has 300 divisors, whose sum is σ = 206088567300. Its totient is φ = 11659189248.

The previous prime is 51009270437. The next prime is 51009270497. The reversal of 51009270480 is 8407290015.

51009270480 is a `hidden beast` number, since 5 + 100 + 9 + 2 + 70 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33103619136 + 17905651344 = 181944^2 + 133812^2 .

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 237196 + ... + 397844.

It is an arithmetic number, because the mean of its divisors is an integer number (686961891).

Almost surely, 2^51009270480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51009270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103044283650).

51009270480 is an abundant number, since it is smaller than the sum of its proper divisors (155079296820).

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

51009270480 is a wasteful number, since it uses less digits than its factorization.

51009270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160688 (or 160666 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 51009 and 270480, that added together give a square (321489 = 567²).

The spelling of 51009270480 in words is "fifty-one billion, nine million, two hundred seventy thousand, four hundred eighty".