5121166174600 has 144 divisors (see below), whose sum is σ = 13856203748880. Its totient is φ = 1755126172800.

The previous prime is 5121166174577. The next prime is 5121166174601. The reversal of 5121166174600 is 64716611215.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5121166174601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24700567 + ... + 24907033.

It is an arithmetic number, because the mean of its divisors is an integer number (96223637145).

Almost surely, 2^{5121166174600} is an apocalyptic number.

5121166174600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121166174600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928101874440).

5121166174600 is an abundant number, since it is smaller than the sum of its proper divisors (8735037574280).

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

5121166174600 is a wasteful number, since it uses less digits than its factorization.

5121166174600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209028 (or 209012 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 5121166174600 in words is "five trillion, one hundred twenty-one billion, one hundred sixty-six million, one hundred seventy-four thousand, six hundred".