51016012604640 has 384 divisors, whose sum is σ = 189620439765120. Its totient is φ = 12766018535424.

The previous prime is 51016012604633. The next prime is 51016012604693. The reversal of 51016012604640 is 4640621061015.

51016012604640 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 6 + 0 + 1 + 2 + 6 + 0 + 4 + 640 = 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 = 51016012604595 and 51016012604604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23718624 + ... + 25779936.

It is an arithmetic number, because the mean of its divisors is an integer number (493803228555).

Almost surely, 2^{51016012604640} 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 51016012604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94810219882560).

51016012604640 is an abundant number, since it is smaller than the sum of its proper divisors (138604427160480).

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

51016012604640 is a wasteful number, since it uses less digits than its factorization.

51016012604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061691 (or 2061677 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 51016012604640 its reverse (4640621061015), we get a palindrome (55656633665655).

The spelling of 51016012604640 in words is "fifty-one trillion, sixteen billion, twelve million, six hundred four thousand, six hundred forty".