51612104640 has 448 divisors, whose sum is σ = 176837644800. Its totient is φ = 12714983424.

The previous prime is 51612104633. The next prime is 51612104701. The reversal of 51612104640 is 4640121615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51612104598 and 51612104607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191866426 + ... + 191866694.

Almost surely, 2^51612104640 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 51612104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88418822400).

51612104640 is an abundant number, since it is smaller than the sum of its proper divisors (125225540160).

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

51612104640 is a wasteful number, since it uses less digits than its factorization.

51612104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 51612104640 in words is "fifty-one billion, six hundred twelve million, one hundred four thousand, six hundred forty".