5201238422160 has 2560 divisors, whose sum is σ = 22215720960000. Its totient is φ = 1104107397120.

The previous prime is 5201238422147. The next prime is 5201238422201. The reversal of 5201238422160 is 612248321025.

5201238422160 is a `hidden beast` number, since 5 + 201 + 23 + 8 + 422 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×5201238422160² (a number of 26 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 48609704827 + ... + 48609704933.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016000).

Almost surely, 2^{5201238422160} 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 5201238422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107860480000).

5201238422160 is an abundant number, since it is smaller than the sum of its proper divisors (17014482537840).

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

5201238422160 is a wasteful number, since it uses less digits than its factorization.

5201238422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 5201238422160 in words is "five trillion, two hundred one billion, two hundred thirty-eight million, four hundred twenty-two thousand, one hundred sixty".