51450615216 has 720 divisors, whose sum is σ = 200287028032. Its totient is φ = 11988725760.

The previous prime is 51450615211. The next prime is 51450615241. The reversal of 51450615216 is 61251605415.

51450615216 is a `hidden beast` number, since 5 + 14 + 5 + 0 + 615 + 21 + 6 = 666.

It is a super-2 number, since 2×51450615216² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51450615211) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 58666170 + ... + 58667046.

Almost surely, 2^51450615216 is an apocalyptic number.

51450615216 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 51450615216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100143514016).

51450615216 is an abundant number, since it is smaller than the sum of its proper divisors (148836412816).

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

51450615216 is a wasteful number, since it uses less digits than its factorization.

51450615216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 51450 and 615216, that added together give a palindrome (666666).

The spelling of 51450615216 in words is "fifty-one billion, four hundred fifty million, six hundred fifteen thousand, two hundred sixteen".