51087436406160 has 320 divisors, whose sum is σ = 197475284772864. Its totient is φ = 10614191616000.

The previous prime is 51087436406137. The next prime is 51087436406197. The reversal of 51087436406160 is 6160463478015.

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, 145206460 + ... + 145557860.

Almost surely, 2^{51087436406160} 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 51087436406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98737642386432).

51087436406160 is an abundant number, since it is smaller than the sum of its proper divisors (146387848366704).

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

51087436406160 is a wasteful number, since it uses less digits than its factorization.

51087436406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359302 (or 359296 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 51087436406160 in words is "fifty-one trillion, eighty-seven billion, four hundred thirty-six million, four hundred six thousand, one hundred sixty".