51285578240 has 480 divisors, whose sum is σ = 148808689920. Its totient is φ = 16838295552.

The previous prime is 51285578237. The next prime is 51285578249. The reversal of 51285578240 is 4287558215.

It is a super-2 number, since 2×51285578240² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51285578249) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 139742537 + ... + 139742903.

It is an arithmetic number, because the mean of its divisors is an integer number (310018104).

Almost surely, 2^51285578240 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 51285578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74404344960).

51285578240 is an abundant number, since it is smaller than the sum of its proper divisors (97523111680).

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

51285578240 is a wasteful number, since it uses less digits than its factorization.

51285578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 47.

The spelling of 51285578240 in words is "fifty-one billion, two hundred eighty-five million, five hundred seventy-eight thousand, two hundred forty".