51240220416 has 810 divisors, whose sum is σ = 195141579360. Its totient is φ = 12879820800.

The previous prime is 51240220373. The next prime is 51240220429. The reversal of 51240220416 is 61402204215.

51240220416 is a `hidden beast` number, since 5 + 1 + 24 + 0 + 220 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51240220416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1652910321 + ... + 1652910351.

Almost surely, 2^51240220416 is an apocalyptic number.

51240220416 is a gapful number since it is divisible by the number (56) 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 51240220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97570789680).

51240220416 is an abundant number, since it is smaller than the sum of its proper divisors (143901358944).

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

51240220416 is an equidigital number, since it uses as much as digits as its factorization.

51240220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

It can be divided in two parts, 5 and 1240220416, that added together give a palindrome (1240220421).

The spelling of 51240220416 in words is "fifty-one billion, two hundred forty million, two hundred twenty thousand, four hundred sixteen".