51053698604160 has 1536 divisors, whose sum is σ = 227036591308800. Its totient is φ = 10698482073600.

The previous prime is 51053698604143. The next prime is 51053698604243. The reversal of 51053698604160 is 6140689635015.

51053698604160 is a `hidden beast` number, since 5 + 1 + 0 + 536 + 9 + 8 + 6 + 0 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51053698604097 and 51053698604106.

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, 641169150 + ... + 641248770.

It is an arithmetic number, because the mean of its divisors is an integer number (147810280800).

Almost surely, 2^{51053698604160} 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 51053698604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113518295654400).

51053698604160 is an abundant number, since it is smaller than the sum of its proper divisors (175982892704640).

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

51053698604160 is a wasteful number, since it uses less digits than its factorization.

51053698604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79712 (or 79688 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 51053698604160 in words is "fifty-one trillion, fifty-three billion, six hundred ninety-eight million, six hundred four thousand, one hundred sixty".