51430410902016 has 160 divisors (see below), whose sum is σ = 152270315683200. Its totient is φ = 17139784826880.

The previous prime is 51430410902009. The next prime is 51430410902063. The reversal of 51430410902016 is 61020901403415.

It is a happy number.

51430410902016 is a `hidden beast` number, since 5 + 1 + 4 + 30 + 410 + 9 + 0 + 201 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64284936 + ... + 65080056.

It is an arithmetic number, because the mean of its divisors is an integer number (951689473020).

Almost surely, 2^{51430410902016} 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 51430410902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76135157841600).

51430410902016 is an abundant number, since it is smaller than the sum of its proper divisors (100839904781184).

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

51430410902016 is an equidigital number, since it uses as much as digits as its factorization.

51430410902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799827 (or 799805 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 51430410902016 in words is "fifty-one trillion, four hundred thirty billion, four hundred ten million, nine hundred two thousand, sixteen".