51587228160 has 480 divisors, whose sum is σ = 199561602240. Its totient is φ = 12696403968.

The previous prime is 51587228129. The next prime is 51587228167. The reversal of 51587228160 is 6182278515.

51587228160 is a `hidden beast` number, since 5 + 1 + 587 + 2 + 2 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×51587228160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51587228167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8083851 + ... + 8090229.

It is an arithmetic number, because the mean of its divisors is an integer number (415753338).

Almost surely, 2^51587228160 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 51587228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99780801120).

51587228160 is an abundant number, since it is smaller than the sum of its proper divisors (147974374080).

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

51587228160 is an equidigital number, since it uses as much as digits as its factorization.

51587228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 51587228160 in words is "fifty-one billion, five hundred eighty-seven million, two hundred twenty-eight thousand, one hundred sixty".