51331069790208 has 576 divisors, whose sum is σ = 161145292089600. Its totient is φ = 15647511674880.

The previous prime is 51331069790171. The next prime is 51331069790213. The reversal of 51331069790208 is 80209796013315.

51331069790208 is a `hidden beast` number, since 51 + 3 + 310 + 6 + 9 + 79 + 0 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19217920713 + ... + 19217923383.

It is an arithmetic number, because the mean of its divisors is an integer number (279766132100).

Almost surely, 2^{51331069790208} 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 51331069790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80572646044800).

51331069790208 is an abundant number, since it is smaller than the sum of its proper divisors (109814222299392).

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

51331069790208 is a wasteful number, since it uses less digits than its factorization.

51331069790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 51331069790208 in words is "fifty-one trillion, three hundred thirty-one billion, sixty-nine million, seven hundred ninety thousand, two hundred eight".