5027608673010 has 1024 divisors, whose sum is σ = 18017427456000. Its totient is φ = 966242027520.

The previous prime is 5027608672987. The next prime is 5027608673027. The reversal of 5027608673010 is 103768067205.

5027608673010 is a `hidden beast` number, since 5 + 0 + 2 + 7 + 608 + 6 + 7 + 30 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2917938009 + ... + 2917939731.

It is an arithmetic number, because the mean of its divisors is an integer number (17595144000).

Almost surely, 2^{5027608673010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5027608673010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008713728000).

5027608673010 is an abundant number, since it is smaller than the sum of its proper divisors (12989818782990).

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

5027608673010 is a wasteful number, since it uses less digits than its factorization.

5027608673010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5027608673010 in words is "five trillion, twenty-seven billion, six hundred eight million, six hundred seventy-three thousand, ten".