51067588535040 has 1728 divisors, whose sum is σ = 207900230630400. Its totient is φ = 10456358584320.

The previous prime is 51067588535021. The next prime is 51067588535059. The reversal of 51067588535040 is 4053588576015.

It is an interprime number because it is at equal distance from previous prime (51067588535021) and next prime (51067588535059).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100329250306 + ... + 100329250814.

Almost surely, 2^{51067588535040} 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 51067588535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103950115315200).

51067588535040 is an abundant number, since it is smaller than the sum of its proper divisors (156832642095360).

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

51067588535040 is a wasteful number, since it uses less digits than its factorization.

51067588535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 57.

The spelling of 51067588535040 in words is "fifty-one trillion, sixty-seven billion, five hundred eighty-eight million, five hundred thirty-five thousand, forty".