51462462240 has 576 divisors, whose sum is σ = 209531702016. Its totient is φ = 11684155392.

The previous prime is 51462462197. The next prime is 51462462241. The reversal of 51462462240 is 4226426415.

51462462240 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 24 + 622 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51462462195 and 51462462204.

It is not an unprimeable number, because it can be changed into a prime (51462462241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47083134 + ... + 47084226.

It is an arithmetic number, because the mean of its divisors is an integer number (363770316).

Almost surely, 2^51462462240 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 51462462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104765851008).

51462462240 is an abundant number, since it is smaller than the sum of its proper divisors (158069239776).

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

51462462240 is a wasteful number, since it uses less digits than its factorization.

51462462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 51462462240 its reverse (4226426415), we get a palindrome (55688888655).

The spelling of 51462462240 in words is "fifty-one billion, four hundred sixty-two million, four hundred sixty-two thousand, two hundred forty".